All Stories

  1. On the impossibility of solitary Rossby waves in meridionally unbounded domains

    Article • Physics of Fluids, November 2018, American Institute of Physics

    Dr Dmitry Pelinovsky

  2. Normal form for transverse instability of the line soliton with a nearly critical speed of propagation

    Article • Mathematical Modelling of Natural Phenomena, January 2018, EDP Sciences

    Dr Dmitry Pelinovsky

  3. Orbital stability in the cubic defocusing NLS equation: II. The black soliton

    Article • Journal of Differential Equations, May 2015, Elsevier

    Dr Dmitry Pelinovsky

  4. Orbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves

    Article • Journal of Differential Equations, May 2015, Elsevier

    Dr Dmitry Pelinovsky

  5. Persistence of the Thomas–Fermi approximation for ground states of the Gross–Pitaevskii equation supported by the nonlinear confinement

    Article • Applied Mathematics Letters, February 2015, Elsevier

    Dr Dmitry Pelinovsky

  6. On numerical modelling and the blow-up behavior of contact lines with a $$\mathbf{180}^{\varvec{\circ }}$$ 180 ∘ contact angle

    Article • Journal of Engineering Mathematics, January 2015, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  7. On the orbital stability of Gaussian solitary waves in the log-KdV equation

    Article • Nonlinearity, November 2014, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  8. On the Thomas-Fermi Approximation of the Ground State in a PT-Symmetric Confining Potential

    Article • Studies in Applied Mathematics, September 2014, Wiley

    Dr Dmitry Pelinovsky

  9. Domain Walls in the Coupled Gross–Pitaevskii Equations

    Article • Archive for Rational Mechanics and Analysis, September 2014, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  10. Stability of multi-solitons in the cubic NLS equation

    Article • Journal of Hyperbolic Differential Equations, June 2014, World Scientific Pub Co Pte Lt

    Dr Dmitry Pelinovsky

  11. Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation

    Article • Theoretical and Mathematical Physics, April 2014, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  12. Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation

    Article • Studies in Applied Mathematics, March 2014, Wiley

    Dr Dmitry Pelinovsky

  13. Nonlinear modes in a generalized $\mathcal{PT}$-symmetric discrete nonlinear Schrödinger equation

    Article • Journal of Physics A Mathematical and Theoretical, February 2014, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  14. Spectral Stability of Nonlinear Waves in KdV-Type Evolution Equations

    Article • February 2014, Wiley

    Dr Dmitry Pelinovsky

  15. Wave Systems with an Infinite Number of Localized Traveling Waves

    Article • Physical Review Letters, February 2014, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  16. Justification of the log--KdV Equation in Granular Chains: The Case of Precompression

    Article • SIAM Journal on Mathematical Analysis, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  17. The asymptotic stability of solitons in the cubic NLS equation on the line

    Article • Applicable Analysis, December 2013, Taylor & Francis

    Dr Dmitry Pelinovsky

  18. Nonlinear Physical Systems

    Article • November 2013, Wiley

    Dr Oleg N Kirillov, Dr Dmitry Pelinovsky

  19. Stability of Discrete Breathers in Magnetic Metamaterials

    Article • October 2013, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  20. Universal power law for the energy spectrum of breaking Riemann waves

    Article • JETP Letters, October 2013, Pleiades Publishing Ltd

    Dr Dmitry Pelinovsky

  21. Orbital Stability of Dirac Solitons

    Article • Letters in Mathematical Physics, August 2013, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  22. Nonlinear dynamics in PT-symmetric lattices

    Article • Journal of Physics A Mathematical and Theoretical, August 2013, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  23. Global existence of small-norm solutions in the reduced Ostrovsky equation

    Article • Discrete and Continuous Dynamical Systems, August 2013, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  24. Nonlinear Stationary States in PT-Symmetric Lattices

    Article • SIAM Journal on Applied Dynamical Systems, July 2013, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  25. On transverse stability of discrete line solitons

    Article • Physica D Nonlinear Phenomena, July 2013, Elsevier

    Dr Dmitry Pelinovsky

  26. Matter-Wave Bright Solitons in Spin-Orbit Coupled Bose-Einstein Condensates

    Article • Physical Review Letters, June 2013, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  27. Justification of a nonlinear Schrödinger model for laser beams in photopolymers

    Article • Zeitschrift für angewandte Mathematik und Physik, May 2013, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  28. Periodic Traveling Waves in Diatomic Granular Chains

    Article • Journal of Nonlinear Science, February 2013, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  29. Lattice Differential Equations

    Article • Oberwolfach Reports, January 2013, European Mathematical Publishing House

    Dr Dmitry Pelinovsky

  30. \chem{\mathcal {P}\mathcal {T}} -symmetric lattices with spatially extended gain/loss are generically unstable

    Article • EPL (Europhysics Letters), January 2013, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  31. Multilevel computations of dispersed drug release

    Article • Numerical Methods for Partial Differential Equations, December 2012, Wiley

    Dr Dmitry Pelinovsky

  32. Discrete solitons in \chem {\cal PT} -symmetric lattices

    Article • EPL (Europhysics Letters), December 2012, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  33. Rigorous justification of the short-pulse equation

    Article • Nonlinear Differential Equations and Applications NoDEA, November 2012, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  34. Multi-site breathers in Klein–Gordon lattices: stability, resonances and bifurcations

    Article • Nonlinearity, November 2012, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  35. Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation

    Article • Journal of Differential Equations, November 2012, Elsevier

    Dr Dmitry Pelinovsky

  36. Bifurcations of Asymmetric Vortices in Symmetric Harmonic Traps

    Article • Applied Mathematics Research eXpress, October 2012, Oxford University Press (OUP)

    Dr Dmitry Pelinovsky

  37. Sharp bounds on enstrophy growth in the viscous Burgers equation

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, July 2012, Royal Society Publishing

    Dr Dmitry Pelinovsky

  38. Asymptotic stability of small gap solitons in nonlinear Dirac equations

    Article • Journal of Mathematical Physics, July 2012, American Institute of Physics

    Dr Dmitry Pelinovsky

  39. Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential

    Article • Physical Review E, February 2012, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  40. Preface

    Article • Discrete and Continuous Dynamical Systems - S, January 2012, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky

  41. Enstrophy growth in the viscous Burgers equation

    Article • Dynamics of Partial Differential Equations, January 2012, International Press of Boston

    Dr Dmitry Pelinovsky

  42. Breather continuation from infinity in nonlinear oscillator chains

    Article • Discrete and Continuous Dynamical Systems, January 2012, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky

  43. On the validity of the variational approximation in discrete nonlinear Schrödinger equations

    Article • Physica D Nonlinear Phenomena, January 2012, Elsevier

    Dr Dmitry Pelinovsky

  44. On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation

    Article • Discrete and Continuous Dynamical Systems - S, January 2012, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky

  45. Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System

    Article • SIAM Journal on Applied Dynamical Systems, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  46. Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

    Article • Physical Review E, December 2011, American Physical Society (APS)

    Dr Oleg N Kirillov, Dr Dmitry Pelinovsky

  47. Symmetry-Breaking Bifurcation in the Nonlinear Schrödinger Equation with Symmetric Potentials

    Article • Communications in Mathematical Physics, October 2011, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  48. Loops of Energy Bands for Bloch Waves in Optical Lattices

    Article • Studies in Applied Mathematics, October 2011, Wiley

    Dr Dmitry Pelinovsky

  49. Propagation failure in the discrete Nagumo equation

    Article • Proceedings of the American Mathematical Society, October 2011, American Mathematical Society (AMS)

    Dr Dmitry Pelinovsky

  50. Regularized shock solutions in coating flows with small surface tension

    Article • Physics of Fluids, September 2011, American Institute of Physics

    Dr Dmitry Pelinovsky

  51. Backlund Transformation and L2-stability of NLS Solitons

    Article • International Mathematics Research Notices, June 2011, Oxford University Press (OUP)

    Dr Dmitry Pelinovsky

  52. Convergence of the Adomian decomposition method for initial-value problems

    Article • Numerical Methods for Partial Differential Equations, April 2011, Wiley

    Dr Dmitry Pelinovsky

  53. Variational approximations of trapped vortices in the large-density limit

    Article • Nonlinearity, March 2011, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  54. Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation

    Article • Physica D Nonlinear Phenomena, February 2011, Elsevier

    Dr Dmitry Pelinovsky

  55. Traveling Monotonic Fronts in the Discrete Nagumo Equation

    Article • Journal of Dynamics and Differential Equations, December 2010, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  56. Homogenization of the variable-speed wave equation

    Article • Wave Motion, December 2010, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  57. Effects of rotation on stability of viscous stationary flows on a spherical surface

    Article • Physics of Fluids, December 2010, American Institute of Physics

    Dr Dmitry Pelinovsky

  58. Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices

    Article • Discrete and Continuous Dynamical Systems - S, December 2010, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky

  59. Asymptotic properties of excited states in the Thomas–Fermi limit

    Article • Nonlinear Analysis, October 2010, Elsevier

    Dr Dmitry Pelinovsky

  60. Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient

    Article • Applicable Analysis, September 2010, Taylor & Francis

    Dr Dmitry Pelinovsky

  61. Excited states in the large density limit: a variational approach

    Article • Nonlinearity, June 2010, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  62. Count of eigenvalues in the generalized eigenvalue problem

    Article • Journal of Mathematical Physics, May 2010, American Institute of Physics

    Dr Dmitry Pelinovsky

  63. Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space

    Article • Communications in Partial Differential Equations, March 2010, Taylor & Francis

    Dr Dmitry Pelinovsky

  64. Distribution of eigenfrequencies for oscillations of the ground state in the Thomas-Fermi limit

    Article • Physical Review A, February 2010, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  65. Bounds on the tight-binding approximation for the Gross–Pitaevskii equation with a periodic potential

    Article • Journal of Differential Equations, February 2010, Elsevier

    Dr Dmitry Pelinovsky

  66. Wave Breaking in the Ostrovsky–Hunter Equation

    Article • SIAM Journal on Mathematical Analysis, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  67. On the uniform convergence of the Chebyshev interpolants for solitons

    Article • Mathematics and Computers in Simulation, December 2009, Elsevier

    Dr Dmitry Pelinovsky

  68. On quadratic eigenvalue problems arising in stability of discrete vortices

    Article • Linear Algebra and its Applications, August 2009, Elsevier

    Dr Dmitry Pelinovsky

  69. Eigenvalues of a nonlinear ground state in the Thomas–Fermi approximation

    Article • Journal of Mathematical Analysis and Applications, July 2009, Elsevier

    Dr Dmitry Pelinovsky

  70. Localization in Periodic Potentials

    Article • January 2009, Cambridge University Press

    Dr Dmitry Pelinovsky

  71. Wave breaking in the short-pulse equation

    Article • Dynamics of Partial Differential Equations, January 2009, International Press of Boston

    Dr Dmitry Pelinovsky

  72. Discrete Traveling Solitons in the Salerno Model

    Article • SIAM Journal on Applied Dynamical Systems, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  73. Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation

    Article • SIAM Journal on Mathematical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  74. Three-dimensional gravity waves in a channel of variable depth

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2008, Elsevier

    Dr Dmitry Pelinovsky

  75. On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension

    Article • Journal of Mathematical Physics, November 2008, American Institute of Physics

    Dr Dmitry Pelinovsky

  76. Justification of the Lattice Equation for a Nonlinear Elliptic Problem with a Periodic Potential

    Article • Communications in Mathematical Physics, October 2008, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  77. Moving gap solitons in periodic potentials

    Article • Mathematical Methods in the Applied Sciences, September 2008, Wiley

    Dr Dmitry Pelinovsky

  78. Slow-light dispersion in coupled periodic waveguides

    Article • Journal of the Optical Society of America B, September 2008, Optical Society of America (OSA)

    Dr Dmitry Pelinovsky

  79. Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential

    Article • Journal of Nonlinear Science, September 2008, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  80. Spectrum of a non-self-adjoint operator associated with the periodic heat equation

    Article • Journal of Mathematical Analysis and Applications, June 2008, Elsevier

    Dr Dmitry Pelinovsky

  81. Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

    Article • Journal of Mathematical Sciences, June 2008, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  82. Periodic oscillations of discrete NLS solitons in the presence of diffraction management

    Article • Nonlinearity, May 2008, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  83. Stability of discrete dark solitons in nonlinear Schrödinger lattices

    Article • Journal of Physics A Mathematical and Theoretical, April 2008, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  84. Lyapunov–Schmidt reduction algorithm for three-dimensional discrete vortices

    Article • Physica D Nonlinear Phenomena, March 2008, Elsevier

    Dr Dmitry Pelinovsky

  85. Kadomtsev-Petviashvili equation

    Article • Scholarpedia, January 2008, Scholarpedia

    Dr Dmitry Pelinovsky

  86. Periodic oscillations of dark solitons in parabolic potentials

    Article • January 2008, American Mathematical Society (AMS)

    Dr Dmitry Pelinovsky

  87. Surface Gap Solitons at a Nonlinearity Interface

    Article • SIAM Journal on Applied Dynamical Systems, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  88. One-parameter localized traveling waves in nonlinear Schrödinger lattices

    Article • Physica D Nonlinear Phenomena, December 2007, Elsevier

    Dr Dmitry Pelinovsky

  89. Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential

    Article • Applicable Analysis, August 2007, Taylor & Francis

    Dr Dmitry Pelinovsky

  90. Two-pulse solutions in the fifth-order KdV equation: Rigorous theory and numerical approximations

    Article • Discrete and Continuous Dynamical Systems - B, August 2007, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky

  91. Incompressible Viscous Fluid Flows in a Thin Spherical Shell

    Article • Journal of Mathematical Fluid Mechanics, July 2007, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  92. Dark solitons in external potentials

    Article • Zeitschrift für angewandte Mathematik und Physik, June 2007, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  93. Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg–de Vries Equation

    Article • SIAM Journal on Mathematical Analysis, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  94. Translationally invariant nonlinear Schrödinger lattices

    Article • Nonlinearity, October 2006, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  95. Feshbach resonance management of Bose-Einstein condensates in optical lattices

    Article • Physical Review E, September 2006, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  96. Exact conditions for existence of homoclinic orbits in the fifth-order KdV model

    Article • Nonlinearity, August 2006, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  97. Eigenvalues of zero energy in the linearized NLS problem

    Article • Journal of Mathematical Physics, June 2006, American Institute of Physics

    Dr Dmitry Pelinovsky

  98. Discrete vector on-site vortices

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, April 2006, Royal Society Publishing

    Dr Dmitry Pelinovsky

  99. Normal form for travelling kinks in discrete Klein–Gordon lattices

    Article • Physica D Nonlinear Phenomena, April 2006, Elsevier

    Dr Dmitry Pelinovsky

  100. Transverse instabilities of deep-water solitary waves

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, February 2006, Royal Society Publishing

    Dr Dmitry Pelinovsky

  101. Block-Diagonalization of the Symmetric First-Order Coupled-Mode System

    Article • SIAM Journal on Applied Dynamical Systems, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  102. Parametric resonance of ground states in the nonlinear Schrödinger equation

    Article • Journal of Differential Equations, January 2006, Elsevier

    Dr Dmitry Pelinovsky

  103. Nonlinearity management in higher dimensions

    Article • Journal of Physics A General Physics, December 2005, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  104. Stability of discrete solitons in nonlinear Schrödinger lattices

    Article • Physica D Nonlinear Phenomena, December 2005, Elsevier

    Dr Dmitry Pelinovsky

  105. Persistence and stability of discrete vortices in nonlinear Schrödinger lattices

    Article • Physica D Nonlinear Phenomena, December 2005, Elsevier

    Dr Dmitry Pelinovsky

  106. Travelling kinks in discrete phi 4 models

    Article • Nonlinearity, November 2005, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  107. Evans Function for Lax Operators with Algebraically Decaying Potentials

    Article • Journal of Nonlinear Science, October 2005, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  108. Translationally invariant discrete kinks from one-dimensional maps

    Article • Physical Review E, September 2005, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  109. Solitons in nonintegrable systems

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2005, American Institute of Physics

    Dr Dmitry Pelinovsky

  110. Averaging of nonlinearity-managed pulses

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2005, American Institute of Physics

    Dr Dmitry Pelinovsky

  111. Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2005, American Institute of Physics

    Dr Dmitry Pelinovsky

  112. Spatial Vector Solitons in Nonlinear Photonic Crystal Fibers

    Article • Studies in Applied Mathematics, August 2005, Wiley

    Dr Dmitry Pelinovsky

  113. Oscillations of dark solitons in trapped Bose-Einstein condensates

    Article • Physical Review E, July 2005, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  114. Instabilities of Multihump Vector Solitons in Coupled Nonlinear Schrödinger Equations

    Article • Studies in Applied Mathematics, July 2005, Wiley

    Dr Dmitry Pelinovsky

  115. Spectral stability and time evolution of N -solitons in the KdV hierarchy

    Article • Journal of Physics A General Physics, June 2005, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  116. Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem

    Article • Journal of Mathematical Physics, May 2005, American Institute of Physics

    Dr Dmitry Pelinovsky

  117. Bifurcations of travelling wave solutions in the discrete NLS equations

    Article • Physica D Nonlinear Phenomena, March 2005, Elsevier

    Dr Dmitry Pelinovsky

  118. Modeling of Wave Resonances in Low-Contrast Photonic Crystals

    Article • SIAM Journal on Applied Mathematics, January 2005, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  119. Hamiltonian averaging for solitons with nonlinearity management

    Article • Physical Review E, October 2004, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  120. Bifurcations and stability of gap solitons in periodic potentials

    Article • Physical Review E, September 2004, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  121. Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons

    Article • SIAM Journal on Applied Mathematics, January 2004, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  122. Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations

    Article • SIAM Journal on Numerical Analysis, January 2004, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  123. Spectra of positive and negative energies in the linearized NLS problem

    Article • Communications on Pure and Applied Mathematics, January 2004, Wiley

    Dr Dmitry Pelinovsky

  124. Averaging for Solitons with Nonlinearity Management

    Article • Physical Review Letters, December 2003, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  125. Purely nonlinear instability of standing waves with minimal energy

    Article • Communications on Pure and Applied Mathematics, September 2003, Wiley

    Dr Dmitry Pelinovsky

  126. Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures

    Article • Journal of Nonlinear Science, August 2003, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  127. On the exchange of energy in coupled Klein–Gordon equations

    Article • Wave Motion, June 2003, Elsevier

    Dr Dmitry Pelinovsky

  128. Gauge transformation and spectral decomposition for the Ishimori-II equations

    Article • Journal of Physics A General Physics, May 2003, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  129. Stable all-optical limiting in nonlinear periodic structures III Nonsolitonic pulse propagation

    Article • Journal of the Optical Society of America B, April 2003, Optical Society of America (OSA)

    Dr Dmitry Pelinovsky

  130. Stable vortex and dipole vector solitons in a saturable nonlinear medium

    Article • January 2003, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  131. Evans Function for the AKNS Problem with Algebraic Solitons

    Article • January 2003, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  132. Averaging of Dispersion-Managed Solitons: Existence and Stability

    Article • SIAM Journal on Applied Mathematics, January 2003, Society for Industrial & Applied Mathematics (SIAM)

    Dr Dmitry Pelinovsky

  133. Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2002, American Institute of Physics

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  134. Depletion layer and contact capacitance in non-uniformly doped semiconductors

    Article • Journal of Physics D Applied Physics, November 2002, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  135. Semi-stability of embedded solitons in the general fifth-order KdV equation

    Article • Wave Motion, September 2002, Elsevier

    Dr Dmitry Pelinovsky

  136. Stable all-optical limiting in nonlinear periodic structures II Computations

    Article • Journal of the Optical Society of America B, August 2002, Optical Society of America (OSA)

    Dr Dmitry Pelinovsky

  137. Stable all-optical limiting in nonlinear periodic structures I Analysis

    Article • Journal of the Optical Society of America B, January 2002, Optical Society of America (OSA)

    Dr Dmitry Pelinovsky

  138. Wave group dynamics in weakly nonlinear long-wave models

    Article • Physica D Nonlinear Phenomena, November 2001, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  139. Transverse Instability of Vector Solitons and Generation of Dipole Arrays

    Article • Physical Review Letters, August 2001, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  140. Interaction of lumps with a line soliton for the DSII equation

    Article • Physica D Nonlinear Phenomena, May 2001, Elsevier

    Dr Dmitry Pelinovsky

  141. A mysterious threshold for transverse instability of deep-water solitons

    Article • Mathematics and Computers in Simulation, March 2001, Elsevier

    Dr Dmitry Pelinovsky

  142. Stability criterion for multicomponent solitary waves

    Article • December 2000, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  143. Transmission regimes of periodic nonlinear optical structures

    Article • October 2000, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  144. Internal Oscillations and Radiation Damping of Vector Solitons

    Article • Studies in Applied Mathematics, October 2000, Wiley

    Dr Dmitry Pelinovsky

  145. Persistent oscillations of scalar and vector dispersion-managed solitons

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2000, American Institute of Physics

    Dr Dmitry Pelinovsky

  146. Instabilities of dispersion-managed solitons in the normal dispersion regime

    Article • September 2000, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  147. Self-focusing and transverse instabilities of solitary waves

    Article • Physics Reports, June 2000, Elsevier

    Dr Dmitry Pelinovsky

  148. OSCILLATORY INSTABILITY AND SUPERCRITICAL DYNAMICS OF DAMPED-DRIVEN NONLINEAR SCHRÖDINGER SOLITONS

    Article • May 2000, World Scientific Pub Co Pte Lt

    Dr Dmitry Pelinovsky

  149. Spectral decomposition for the Dirac system associated to the DSII equation

    Article • Inverse Problems, January 2000, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  150. Eigenfunctions and Eigenvalues for a Scalar Riemann-Hilbert Problem Associated to Inverse Scattering

    Article • Communications in Mathematical Physics, January 2000, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  151. Asymptotic approximations for a new eigenvalue in linear problems without a threshold

    Article • Theoretical and Mathematical Physics, January 2000, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  152. Асимптотики нового собственного значения в линейных задачах без порога

    Article • Теоретическая и математическая физика, January 2000, Steklov Mathematical Institute

    Dr Dmitry Pelinovsky

  153. Generation of soliton oscillations in nonlinear quadratic materials

    Article • June 1999, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  154. Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability

    Article • Nonlinearity, January 1999, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  155. Bifurcations of new eigenvalues for the Benjamin–Ono equation

    Article • Journal of Mathematical Physics, December 1998, American Institute of Physics

    Dr Dmitry Pelinovsky

  156. Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions

    Article • Journal of Mathematical Physics, October 1998, American Institute of Physics

    Dr Dmitry Pelinovsky

  157. Exact vortex solutions of the complex sine-Gordon theory on the plane

    Article • Physics Letters B, September 1998, Elsevier

    Dr Dmitry Pelinovsky

  158. Radiative effects to the adiabatic dynamics of envelope-wave solitons

    Article • Physica D Nonlinear Phenomena, August 1998, Elsevier

    Dr Dmitry Pelinovsky

  159. Internal Modes of Solitary Waves

    Article • Physical Review Letters, June 1998, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  160. Vibrations and Oscillatory Instabilities of Gap Solitons

    Article • Physical Review Letters, June 1998, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  161. Internal modes of envelope solitons

    Article • Physica D Nonlinear Phenomena, May 1998, Elsevier

    Dr Dmitry Pelinovsky

  162. On internal wave–shear flow resonance in shallow water

    Article • Journal of Fluid Mechanics, January 1998, Cambridge University Press

    Dr Dmitry Pelinovsky

  163. On modified NLS, Kaup and NLBq equations: differential transformations and bilinearization

    Article • Journal of Physics A General Physics, December 1997, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  164. Instability analysis of internal solitary waves in a nearly uniformly stratified fluid

    Article • Physics of Fluids, November 1997, American Institute of Physics

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  165. Structural transformation of eigenvalues for a perturbed algebraic soliton potential

    Article • Physics Letters A, May 1997, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  166. An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations

    Article • Physica D Nonlinear Phenomena, November 1996, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  167. Instability-induced dynamics of dark solitons

    Article • August 1996, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  168. On the asymptotic integrability of a higher‐order evolution equation describing internal waves in a deep fluid

    Article • Journal of Mathematical Physics, July 1996, American Institute of Physics

    Dr Dmitry Pelinovsky

  169. Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation

    Article • February 1996, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  170. GENERATION OF COLLECTIVE-ACTIVITY STRUCTURES IN A HOMOGENEOUS NEURON-LIKE MEDIUM I: BIFURCATION ANALYSIS OF STATIC STRUCTURES

    Article • International Journal of Bifurcation and Chaos, January 1996, World Scientific Pub Co Pte Lt

    Dr Dmitry Pelinovsky

  171. GENERATION OF COLLECTIVE-ACTIVITY STRUCTURES IN A HOMOGENEOUS NEURON-LIKE MEDIUM II: DYNAMICS OF PROPAGATING AND PULSATING STRUCTURES

    Article • International Journal of Bifurcation and Chaos, January 1996, World Scientific Pub Co Pte Lt

    Dr Dmitry Pelinovsky

  172. Nonlinear Theory of Soliton Instabilities

    Article • January 1996, Springer Science + Business Media

    Dr Dmitry Pelinovsky

  173. Collapse transformation for self-focusing solitary waves in boundary-layer type shear flows

    Article • Physics Letters A, October 1995, Elsevier

    Dr Dmitry Pelinovsky

  174. On a structure of the explicit solutions to the Davey-Stewartson equations

    Article • Physica D Nonlinear Phenomena, October 1995, Elsevier

    Dr Dmitry Pelinovsky

  175. A spectral transform for the intermediate nonlinear Schrödinger equation

    Article • Journal of Mathematical Physics, August 1995, American Institute of Physics

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  176. Asymptotic theory of plane soliton self-focusing in two-dimensional wave media

    Article • Physica D Nonlinear Phenomena, August 1995, Elsevier

    Dr Dmitry Pelinovsky

  177. Instability of Solitons Governed by Quadratic Nonlinearities

    Article • Physical Review Letters, July 1995, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  178. On a wave field transformation described by the two-dimensional Kadomtsev-Petviashvili equation

    Article • Inverse Problems, June 1995, Institute of Physics Publishing

    Dr Dmitry Pelinovsky

  179. Self-focusing of plane dark solitons in nonlinear defocusing media

    Article • May 1995, American Physical Society (APS)

    Dr Dmitry Pelinovsky

  180. Intermediate nonlinear Schrödinger equation for internal waves in a fluid of finite depth

    Article • Physics Letters A, February 1995, Elsevier

    Dr Dmitry Pelinovsky

  181. The structure of the rational solutions to the Boussinesq equation

    Article • Physica D Nonlinear Phenomena, January 1995, Elsevier

    Dr Dmitry Pelinovsky

  182. Instability and decay of solitary waves in the Davey-Stewartson 1 system

    Article • Physics Letters A, December 1994, Elsevier

    Dr Dmitry Pelinovsky

  183. Rational solutions of the Kadomtsev–Petviashvili hierarchy and the dynamics of their poles. I. New form of a general rational solution

    Article • Journal of Mathematical Physics, November 1994, American Institute of Physics

    Dr Dmitry Pelinovsky

  184. Formation of pulsed sources in neuro-like media

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Dr Dmitry Pelinovsky

  185. Asymptotic Reductions of the Gross-Pitaevskii Equation

    Article • Springer Science + Business Media

    Dr Dmitry Pelinovsky

  186. Nonlinear propagation of ultrashort pulses in nonlinear periodic materials with alternating oppositely-signed Kerr coefficients

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Dr Dmitry Pelinovsky

  187. A set of travelling fronts of excitation in the model of homogeneous neuro-like medium with nonlocal coupling

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Dr Dmitry Pelinovsky