All Stories

  1. Quantization of

    Article • Physica D Nonlinear Phenomena, February 2015, Elsevier

    Professor John Chris Eilbeck

  2. Some new addition formulae for Weierstrass elliptic functions

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, September 2014, Royal Society Publishing

    Professor John Chris Eilbeck

  3. Periods of second kind differentials of $(n,s)$-curves

    Article • Transactions of the Moscow Mathematical Society, April 2014, American Mathematical Society (AMS)

    Professor John Chris Eilbeck

  4. Abelian functions associated with genus three algebraic curves

    Article • LMS Journal of Computation and Mathematics, November 2011, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  5. Addition formulae for Abelian functions associated with specialized curves

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, February 2011, Royal Society Publishing

    Professor John Chris Eilbeck

  6. Persistent mobile lattice excitations in a crystalline insulator

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

    Professor John Chris Eilbeck

  7. Interaction of moving discrete breathers with interstitial defects

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

    Professor John Chris Eilbeck

  8. Breathers and kinks in a simulated crystal experiment

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

    Professor John Chris Eilbeck

  9. Sigma, tau and Abelian functions of algebraic curves

    Article • Journal of Physics A Mathematical and Theoretical, October 2010, Institute of Physics Publishing

    Professor John Chris Eilbeck

  10. Abelian Functions for Trigonal Curves of Genus Three

    Article • International Mathematics Research Notices, July 2010, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  11. Abelian functions associated with a cyclic tetragonal curve of genus six

    Article • Journal of Physics A Mathematical and Theoretical, February 2009, Institute of Physics Publishing

    Professor John Chris Eilbeck

  12. Abelian functions for cyclic trigonal curves of genus 4

    Article • Journal of Geometry and Physics, April 2008, Elsevier

    Professor John Chris Eilbeck

  13. Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity

    Article • Discrete and Continuous Dynamical Systems, March 2008, American Institute of Mathematical Sciences (AIMS)

    Professor John Chris Eilbeck

  14. Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties

    Article • Journal für die reine und angewandte Mathematik (Crelles Journal), January 2008, De Gruyter

    Professor John Chris Eilbeck

  15. A lower bound for the power of periodic solutions of the defocusing discrete nonlinear Schrödinger equation

    Article • Dynamics of Partial Differential Equations, January 2008, International Press of Boston

    Professor John Chris Eilbeck

  16. Evidence for moving breathers in a layered crystal insulator at 300 K

    Article • EPL (Europhysics Letters), March 2007, Institute of Physics Publishing

    Professor John Chris Eilbeck

  17. Spectral Curves of Operators with Elliptic Coefficients

    Article • Symmetry Integrability and Geometry Methods and Applications, March 2007, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Professor John Chris Eilbeck

  18. Discrete soliton collisions in a waveguide array with saturable nonlinearity

    Article • Physics Letters A, October 2006, Elsevier

    Professor John Chris Eilbeck

  19. Fast energy transfer mediated by multi-quanta bound states in a nonlinear quantum lattice

    Article • Physica D Nonlinear Phenomena, September 2006, Elsevier

    Professor John Chris Eilbeck

  20. Aharonov-Bohm effect for an exciton in a finite-width nanoring

    Article • Physical Review B, August 2005, American Physical Society (APS)

    Professor John Chris Eilbeck

  21. Dynamical two electron states in a Hubbard-Davydov model

    Article • The European Physical Journal B, November 2004, Springer Science + Business Media

    Professor John Chris Eilbeck, Dr Leonor Cruzeiro

  22. Trapping in quantum chains

    Article • Physics Letters A, October 2004, Elsevier

    Professor John Chris Eilbeck

  23. Quantum Signatures of Breather-Breather Interactions

    Article • Physical Review Letters, July 2004, American Physical Society (APS)

    Professor John Chris Eilbeck

  24. Covariant genus 2 hyperelliptic functions

    Article • Mathematical Proceedings of the Cambridge Philosophical Society, March 2004, Cambridge University Press

    Professor John Chris Eilbeck

  25. Identities for the classical genus two function

    Article • Journal of Geometry and Physics, November 2003, Elsevier

    Professor John Chris Eilbeck

  26. Influence of moving breathers on vacancies migration

    Article • Physics Letters A, September 2003, Elsevier

    Professor John Chris Eilbeck

  27. The hyperelliptic  -function and the integrable massive Thirring model

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, July 2003, Royal Society Publishing

    Professor John Chris Eilbeck

  28. SOME EXACT RESULTS FOR QUANTUM LATTICE PROBLEMS

    Article • May 2003, World Scientific Pub Co Pte Lt

    Professor John Chris Eilbeck

  29. THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION — 20 YEARS ON

    Article • May 2003, World Scientific Pub Co Pte Lt

    Professor John Chris Eilbeck

  30. Multidimensional Schrödinger equations with Abelian potentials

    Article • Journal of Mathematical Physics, June 2002, American Institute of Physics

    Professor John Chris Eilbeck

  31. Varieties of elliptic solitons

    Article • Journal of Physics A General Physics, March 2001, Institute of Physics Publishing

    Professor John Chris Eilbeck

  32. Breathers in cuprate-like lattices

    Article • Physics Letters A, March 2001, Elsevier

    Professor John Chris Eilbeck

  33. Exact energy bands and Fermi surfaces of separable Abelian potentials

    Article • Journal of Physics A General Physics, January 2001, Institute of Physics Publishing

    Professor John Chris Eilbeck

  34. Analytical approach to the Davydov-Scott theory with on-site potential

    Article • January 2001, American Physical Society (APS)

    Professor John Chris Eilbeck

  35. Ephaptic coupling of myelinated nerve fibers

    Article • Physica D Nonlinear Phenomena, January 2001, Elsevier

    Professor John Chris Eilbeck

  36. Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations

    Article • Journal of Mathematical Physics, December 2000, American Institute of Physics

    Professor John Chris Eilbeck

  37. Quasi-periodic and periodic solutions for coupled nonlinear Schrodinger equations of Manakov type

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, September 2000, Royal Society Publishing

    Professor John Chris Eilbeck

  38. Breathers in systems with intrinsic and extrinsic nonlinearities

    Article • Physica D Nonlinear Phenomena, August 2000, Elsevier

    Professor John Chris Eilbeck

  39. Moving kinks and nanopterons in the nonlinear Klein–Gordon lattice

    Article • Physica D Nonlinear Phenomena, April 2000, Elsevier

    Professor John Chris Eilbeck

  40. Interplay between dispersive and non-dispersive modes in the polaron problem

    Article • Physics Letters A, February 2000, Elsevier

    Professor John Chris Eilbeck, Dr Leonor Cruzeiro

  41. Bilinear operators and the power series for the Weierstrass sigma function

    Article • Journal of Physics A General Physics, January 2000, Institute of Physics Publishing

    Professor John Chris Eilbeck

  42. A breather-like localized mode in a Fermi-Pasta-Ulam lattice interacting with an electron

    Article • Journal of Physics Condensed Matter, June 1998, Institute of Physics Publishing

    Professor John Chris Eilbeck

  43. Bound states of lattice solitons and their bifurcations

    Article • Physica D Nonlinear Phenomena, September 1997, Elsevier

    Professor John Chris Eilbeck

  44. On the Periodic Lotka–Volterra Competition Model

    Article • Journal of Mathematical Analysis and Applications, June 1997, Elsevier

    Professor John Chris Eilbeck

  45. Moving breathers in a chain of magnetic pendulums

    Article • March 1997, American Physical Society (APS)

    Professor John Chris Eilbeck

  46. Some applications of computer algebra to problems in theoretical physics

    Article • Mathematics and Computers in Simulation, April 1996, Elsevier

    Professor John Chris Eilbeck

  47. Quasi-Periodic Solutions of the Coupled Nonlinear Schrodinger Equations

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, December 1995, Royal Society Publishing

    Professor John Chris Eilbeck

  48. Stationary states in a doubly nonlinear trimer model of optical couplers

    Article • Physica Scripta, October 1995, Institute of Physics Publishing

    Professor John Chris Eilbeck

  49. Mathematical modelling of weakly nonlinear pulses in a retinal neuron

    Article • Chaos Solitons & Fractals, March 1995, Elsevier

    Professor John Chris Eilbeck

  50. On the two-gap locus for the elliptic Calogero-Moser model

    Article • Journal of Physics A General Physics, February 1995, Institute of Physics Publishing

    Professor John Chris Eilbeck

  51. Conditions under which Na+channels can Boost conduction of small graded potentials

    Article • Journal of Theoretical Biology, February 1995, Elsevier

    Professor John Chris Eilbeck

  52. Analysis of bifurcations in reaction–diffusion systems with no-flux boundary conditions: the Sel'kov model

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1995, Cambridge University Press

    Professor John Chris Eilbeck

  53. Quantum lattice solitons

    Article • Physica D Nonlinear Phenomena, November 1994, Elsevier

    Professor John Chris Eilbeck

  54. General method to solve Hamiltonians with infinite-range interactions

    Article • Physical Review A, July 1994, American Physical Society (APS)

    Professor John Chris Eilbeck

  55. Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system

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

    Professor John Chris Eilbeck

  56. Linear r-matrix algebra for classical separable systems

    Article • Journal of Physics A General Physics, January 1994, Institute of Physics Publishing

    Professor John Chris Eilbeck, Andrey Tsiganov

  57. Coexistence in the Competition Model with Diffusion

    Article • Journal of Differential Equations, January 1994, Elsevier

    Professor John Chris Eilbeck

  58. Quantum Lattices

    Article • January 1994, Springer Science + Business Media

    Professor John Chris Eilbeck

  59. Elliptic solutions and blow-up in an integrable Hénon–Heiles system

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1994, Cambridge University Press

    Professor John Chris Eilbeck

  60. Classical Poisson Structure for a Hierarchy of One–Dimensional Particle Systems Separable in Parabolic Coordinates

    Article • Journal of Nonlinear Mathematical Physics, January 1994, Taylor & Francis

    Professor John Chris Eilbeck

  61. The quantum discrete self-trapping equation in the Hartree approximation

    Article • Physica D Nonlinear Phenomena, November 1993, Elsevier

    Professor John Chris Eilbeck

  62. Preface

    Article • Physica D Nonlinear Phenomena, September 1993, Elsevier

    Professor John Chris Eilbeck

  63. Solitons on lattices

    Article • Physica D Nonlinear Phenomena, September 1993, Elsevier

    Professor John Chris Eilbeck

  64. Linear r-matrix algebra for systems separable in parabolic coordinates

    Article • Physics Letters A, September 1993, Elsevier

    Professor John Chris Eilbeck

  65. Soliton bands in anharmonic quantum lattices

    Article • Physics Letters A, January 1993, Elsevier

    Professor John Chris Eilbeck

  66. Future Directions of Nonlinear Dynamics in Physical and Biological Systems

    Article • January 1993

    Professor John Chris Eilbeck

  67. Corrigendum to ‘A monotonicity theorem and its application to stationary solutions of the phase field model’

    Article • IMA Journal of Applied Mathematics, January 1993, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  68. Quantum Solitons in the DNLS and Hubbard Models

    Article • January 1993, Springer Science + Business Media

    Professor John Chris Eilbeck

  69. Membrane conductances involved in amplification of small signals by sodium channels in photoreceptors of drone honey bee.

    Article • The Journal of Physiology, October 1992, Wiley

    Professor John Chris Eilbeck

  70. There's more than one way to skin Schrödinger's cat

    Article • Physica D Nonlinear Phenomena, October 1992, Elsevier

    Professor John Chris Eilbeck

  71. On ultrasonic Davydov solitons and the Hénon-Heiles system

    Article • Physics Letters A, June 1992, Elsevier

    Professor John Chris Eilbeck

  72. A monotonicity theorem and its application to stationary solutions of the phase field model

    Article • IMA Journal of Applied Mathematics, January 1992, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  73. Structure of solution manifolds in a strongly coupled elliptic system

    Article • IMA Journal of Numerical Analysis, January 1992, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  74. Binding energies for discrete nonlinear Schrödinger equations

    Article • Physica Scripta, December 1991, Institute of Physics Publishing

    Professor John Chris Eilbeck

  75. Solitary waves on a strongly anisotropic KP lattice

    Article • Physics Letters A, August 1991, Elsevier

    Professor John Chris Eilbeck

  76. Proof of a conjecture by Scott concerning energy levels in the quantum DST equation

    Article • Physics Letters A, May 1991, Elsevier

    Professor John Chris Eilbeck

  77. Calculation of families of solitary waves on discrete lattices

    Article • Physics Letters A, September 1990, Elsevier

    Professor John Chris Eilbeck

  78. The quantum theory of local modes in a coupled system of nonlinear oscillators

    Article • Nonlinearity, May 1990, Institute of Physics Publishing

    Professor John Chris Eilbeck

  79. Introduction to the Discrete Self-Trapping Equation

    Article • January 1990, Springer Science + Business Media

    Professor John Chris Eilbeck

  80. Understanding Steady-State Bifurcation Diagrams for a Model Reaction-Diffusion System

    Article • January 1990, Springer Science + Business Media

    Professor John Chris Eilbeck

  81. Local modes in molecules

    Article • Journal of Molecular Liquids, October 1989, Elsevier

    Professor John Chris Eilbeck

  82. Stationary states associated with phase separation in a pure material. I. The large latent heat case

    Article • Physics Letters A, July 1989, Elsevier

    Professor John Chris Eilbeck

  83. On a stationary state characterization of transition from spinodal decomposition to nucleation behaviour in the Cahn-Hilliard model of phase separation

    Article • Physics Letters A, February 1989, Elsevier

    Professor John Chris Eilbeck

  84. Energy levels of the quantized discrete self-trapping equation

    Article • Journal of Biological Physics, January 1989, Springer Science + Business Media

    Professor John Chris Eilbeck

  85. Biomolecular dynamics by computer analysis

    Article • Journal of Computational and Applied Mathematics, June 1988, Elsevier

    Professor John Chris Eilbeck

  86. Numerical Studies of Symmetry-Breaking Bifurcations in Reaction-Diffusion Systems

    Article • January 1988, Springer Science + Business Media

    Professor John Chris Eilbeck

  87. Numerical Studies of Bifurcation in Reaction-Diffusion Models Using Pseudo-Spectral and Path-Following Methods

    Article • January 1987, Springer Science + Business Media

    Professor John Chris Eilbeck

  88. The quantized discrete self-trapping equation

    Article • Physics Letters A, December 1986, Elsevier

    Professor John Chris Eilbeck

  89. On the CH stretch overtones of benzene

    Article • Chemical Physics Letters, November 1986, Elsevier

    Professor John Chris Eilbeck

  90. A comparison of basis functions for the pseudo-spectral method for a model reaction-diffusion problem

    Article • Journal of Computational and Applied Mathematics, July 1986, Elsevier

    Professor John Chris Eilbeck

  91. The Pseudo-Spectral Method and Path Following in Reaction-Diffusion Bifurcation Studies

    Article • SIAM Journal on Scientific and Statistical Computing, April 1986, Society for Industrial & Applied Mathematics (SIAM)

    Professor John Chris Eilbeck

  92. The discrete self-trapping equation

    Article • Physica D Nonlinear Phenomena, July 1985, Elsevier

    Professor John Chris Eilbeck

  93. Pattern selection and low-dimensional chaos in the driven damped two-dimensional sine-Gordon equation

    Article • Journal of Physics C Solid State Physics, June 1985, Institute of Physics Publishing

    Professor John Chris Eilbeck

  94. Stability of stationary solutions of the discrete self-trapping equation

    Article • Physics Letters A, May 1985, Elsevier

    Professor John Chris Eilbeck

  95. How good are one‐dimensional Josephson junction models?

    Article • Journal of Applied Physics, February 1985, American Institute of Physics

    Professor John Chris Eilbeck

  96. Comparison between one‐dimensional and two‐dimensional models for Josephson junctions of overlap type

    Article • Journal of Applied Physics, February 1985, American Institute of Physics

    Professor John Chris Eilbeck

  97. Between the local-mode and normal-mode limits

    Article • Chemical Physics Letters, January 1985, Elsevier

    Professor John Chris Eilbeck

  98. Dodd, R. K. / Eilbeck, J. C. / Gibbon, J. D. / Morris, H. C., Solitons and Nonlinear Wave Equations. London et al., Academic Press 1982. X, 630 S., £ 26.00. US $ 47.50. ISBN 0. 12. 219120. X

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, January 1985, Wiley

    Professor John Chris Eilbeck

  99. Soliton structure in crystalline acetanilide

    Article • October 1984, American Physical Society (APS)

    Professor John Chris Eilbeck

  100. A collocation approach to the numerical calculation of simple gradients in reaction-diffusion systems

    Article • Journal of Mathematical Biology, February 1983, Springer Science + Business Media

    Professor John Chris Eilbeck

  101. Collocation with Quadratic and Cubic Splines

    Article • IMA Journal of Numerical Analysis, January 1982, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  102. Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations

    Article • Bulletin of Mathematical Biology, January 1982, Springer Science + Business Media

    Professor John Chris Eilbeck

  103. Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations

    Article • Bulletin of Mathematical Biology, January 1982, Springer Science + Business Media

    Professor John Chris Eilbeck

  104. Chapter VII A Strategy for Investigating Solutions of Coupled Nonlinear Diffusion Equations, With Applications to Pattern Formation Models in Biology

    Article • January 1982, Elsevier

    Professor John Chris Eilbeck

  105. Multiple frequency generation by bunched solitons in Josephson tunnel junctions

    Article • December 1981, American Physical Society (APS)

    Professor John Chris Eilbeck

  106. Chaos in the inhomogeneously driven sine-Gordon equation

    Article • Physics Letters A, December 1981, Elsevier

    Professor John Chris Eilbeck

  107. A mathematical model for pattern formation in biological systems

    Article • Physica D Nonlinear Phenomena, August 1981, Elsevier

    Professor John Chris Eilbeck

  108. Pulse evolution on coupled nerve fibres

    Article • Bulletin of Mathematical Biology, July 1981, Springer Science + Business Media

    Professor John Chris Eilbeck

  109. Pulse evolution on coupled nerve fibres

    Article • Bulletin of Mathematical Biology, January 1981, Springer Science + Business Media

    Professor John Chris Eilbeck

  110. A mathematical model for embryonic cell division based on a surface “cleavage field”

    Article • Journal of Theoretical Biology, November 1978, Elsevier

    Professor John Chris Eilbeck

  111. Numerical Studies of Solitons

    Article • January 1978, Springer Science + Business Media

    Professor John Chris Eilbeck

  112. Numerical evidence for breakdown of soliton behaviour in solutions of the Maxwell-Bloch equations

    Article • Physics Letters A, July 1977, Elsevier

    Professor John Chris Eilbeck

  113. Numerical study of the regularized long-wave equation. II: Interaction of solitary waves

    Article • Journal of Computational Physics, January 1977, Elsevier

    Professor John Chris Eilbeck

  114. A modified regularized long-wave equation with an exact two-soliton solution

    Article • Journal of Physics A General Physics, October 1976, Institute of Physics Publishing

    Professor John Chris Eilbeck

  115. Numerical study of the regularized long-wave equation I: Numerical methods

    Article • Journal of Computational Physics, September 1975, Elsevier

    Professor John Chris Eilbeck

  116. The sine-Gordon equation as a model classical field theory

    Article • Il Nuovo Cimento B, February 1975, Springer Science + Business Media

    Professor John Chris Eilbeck

  117. Exact Multisoliton Solution of the Reduced Maxwell-Bloch Equations of Non-linear Optics

    Article • IMA Journal of Applied Mathematics, January 1974, Oxford University Press (OUP)

    Professor John Chris Eilbeck

  118. A general theory of self-induced transparency

    Article • Optical and Quantum Electronics, January 1974, Springer Science + Business Media

    Professor John Chris Eilbeck

  119. N-Soliton solutions of some non-linear dispersive wave equations of physical significance

    Article • January 1974, Springer Science + Business Media

    Professor John Chris Eilbeck

  120. AnN-soliton solution of a nonlinear optics equation derived by a general inverse method

    Article • Lettere al Nuovo Cimento, November 1973, Springer Science + Business Media

    Professor John Chris Eilbeck

  121. Solitons in nonlinear optics. I. A more accurate description of the 2π pulse in self-induced transparency

    Article • Journal of Physics A Mathematical Nuclear and General, September 1973, Institute of Physics Publishing

    Professor John Chris Eilbeck

  122. Multiple soliton and bisoliton bound state solutions of the sine-Gordon equation and related equations in nonlinear optics

    Article • Journal of Physics A Mathematical Nuclear and General, August 1973, Institute of Physics Publishing

    Professor John Chris Eilbeck

  123. Exact multisoliton solution of the inhomogeneously broadened self-induced transparency equations

    Article • Journal of Physics A Mathematical Nuclear and General, May 1973, Institute of Physics Publishing

    Professor John Chris Eilbeck

  124. Exact Multisoliton Solutions of the Self-Induced Transparency and Sine-Gordon Equations

    Article • Physical Review Letters, February 1973, American Physical Society (APS)

    Professor John Chris Eilbeck

  125. The asymptotic form of the N soliton solution of the Korteweg-de Vries equation

    Article • December 1972, Institute of Physics Publishing

    Professor John Chris Eilbeck

  126. A possible N soliton solution for a nonlinear optics equation

    Article • November 1972, Institute of Physics Publishing

    Professor John Chris Eilbeck

  127. Reflection of short pulses in linear optics

    Article • September 1972, Institute of Physics Publishing

    Professor John Chris Eilbeck

  128. The method of characteristics in the theory of resonant or nonresonant nonlinear optics

    Article • June 1972, Institute of Physics Publishing

    Professor John Chris Eilbeck

  129. Nonlinear radiation reaction, superradiance, and coherent optical pulse propagation

    Article • IEEE Journal of Quantum Electronics, June 1972, Institute of Electrical & Electronics Engineers (IEEE)

    Professor John Chris Eilbeck

  130. Calculation of the ϱ and Δ trajectories

    Article • Nuclear Physics B, February 1972, Elsevier

    Professor John Chris Eilbeck

  131. Table errata: {\it Higher transcendental functions. Vol. I, II}\ (McGraw-Hill, New York, 1953) by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi

    Article • Mathematics of Computation, September 1971, American Mathematical Society (AMS)

    Professor John Chris Eilbeck

  132. Numerical studies of solitons on lattices

    Article • Springer Science + Business Media

    Professor John Chris Eilbeck

  133. Quantum Breathers in an Attractive Fermionic Hubbard Model

    Article • Springer Science + Business Media

    Professor John Chris Eilbeck

  134. 2-D Breathers and Applications

    Article • Springer Science + Business Media

    Professor John Chris Eilbeck