Dmitry V. Valovik
Penzenskij gosudarstvennyj universitet
Professor, Mathematics
Russia
My Publications
Perturbation of nonlinear operators in the theory of nonlinear multifrequency electroma...
Communications in Nonlinear Science and Numerical Simulation
August 2019
Maxwell's equations with arbitrary self-action nonlinearity in a waveguiding theory: Gu...
Journal of Mathematical Analysis and Applications
June 2019
Nonlinear multiparameter eigenvalue problems: Linearised and nonlinearised solutions
Journal of Differential Equations
March 2019
Nonlinear multi-frequency electromagnetic wave propagation phenomena
Journal of Optics
September 2017
On the existence of infinitely many nonperturbative solutions in a transmission eigenva...
Applied Mathematical Modelling
September 2017
Nonlinear coupled wave propagation in a n-dimensional layer
Applied Mathematics and Computation
February 2017
Theory of Nonlinear Guided Electromagnetic Waves in a Plane Two-Layered Dielectric Wave...
Mathematical Problems in Engineering
January 2017
Coupled electromagnetic wave propagation in a cylindrical dielectric waveguide filled w...
Journal of Modern Optics
October 2016
On the infinitely many nonperturbative solutions in a transmission eigenvalue problem f...
Journal of Mathematical Physics
October 2016
Electromagnetic TM wave propagation in a layer with Kerr nonlinearity: Analytical results
August 2016
Ellipticity of the electric field integral equation in a problem of diffraction by a pa...
August 2016
Nonlinear guided electromagnetic waves in a layer: Revisiting an old problem and new re...
August 2016
Volume singular integro-differential equations in the electromagnetic diffraction problem
August 2016
Vector problem of electromagnetic wave diffraction by a system of inhomogeneous volume ...
Journal of Electromagnetic Waves and Applications
May 2016
On the eigenvalues of a nonlinear spectral problem
Differential Equations
February 2016
Nonlinear coupled electromagnetic wave propagation: Saturable nonlinearities
Wave Motion
January 2016
On the volume singular integro-differential equation approach for the electromagnetic d...
Applicable Analysis
November 2015
Reply to “Comment on ‘Guided electromagnetic waves propagating in a plane dielectric wa...
Physical Review A
November 2015
Electromagnetic TE wave propagation in a two-layered waveguide with nonlinear permittivity
May 2015
Guided electromagnetic waves propagating in a plane dielectric waveguide with nonlinear...
Physical Review A
January 2015
Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguid...
Advances in Mathematical Physics
January 2015
Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem
Nonlinear Analysis Real World Applications
December 2014
Recent advances in the theory of coupled nonlinear guided waves
August 2014
Propagation of TE waves in a plane dielectric waveguide with nonlinear permittivity
May 2014
Coupled electromagnetic TE-TE waves propagation. Numerical approach to determine couple...
May 2014
On the problem of propagation of nonlinear coupled TE-TM waves in a layer
Computational Mathematics and Mathematical Physics
March 2014
Nonlinear Double-Layer Bragg Waveguide: Analytical and Numerical Approaches to Investig...
Advances in Numerical Analysis
January 2014
Problem of nonlinear coupled electromagnetic TE-TE wave propagation
Journal of Mathematical Physics
August 2013
Calculation of the propagation constants of inhomogeneous nonlinear double-layer circul...
Journal of Communications Technology and Electronics
August 2013
Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered...
Computational Mathematics and Mathematical Physics
July 2013
On the problem of nonlinear coupled electromagnetic transverse-electric–transverse magn...
Journal of Mathematical Physics
April 2013
Coupled electromagnetic transverse-electric–transverse magnetic wave propagation in a c...
Journal of Mathematical Physics
April 2013
On the Problem of Electromagnetic Waves Propagating along a Nonlinear Inhomogeneous Cyl...
ISRN Mathematical Physics
January 2013
Electromagnetic Wave Propagation in Nonlinear Layered Waveguide Structures: Computation...
January 2013
The method of cauchy problem for solving a nonlinear eigenvalue transmission problem fo...
Computational Mathematics and Mathematical Physics
January 2013
Solution of the nonlinear eigenvalue boundary-value problem for tm electromagnetic wave...
Journal of Communications Technology and Electronics
January 2013
Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity
Journal of Mathematical Physics
December 2012
Electromagnetic TM wave propagation in nonlinear multilayered waveguides. Numerical tec...
August 2012
Numerical solution of the problem of propagation of TM-polarized electromagnetic waves ...
August 2012
Pseudodifferential operator method in a problem on the diffraction of an electromagneti...
Differential Equations
April 2012
Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr...
Advances in Mathematical Physics
January 2012
Propagation of electromagnetic TE waves in a nonlinear medium with saturation
Journal of Communications Technology and Electronics
November 2011
Propagation of TM waves in a layer with arbitrary nonlinearity
Computational Mathematics and Mathematical Physics
September 2011
Propagation of electromagnetic waves in a nonlinear metamaterial layer
Journal of Communications Technology and Electronics
May 2011
Nonlinear effects in the problem of propagation of TM electromagnetic waves in a Kerr n...
Journal of Communications Technology and Electronics
March 2011
Propagation of TM wave in a layer with Kerr law nonlinearity
September 2010
Boundary Eigenvalue Problem for Maxwell Equations in a Nonlinear Dielectric Layer
Applied Mathematics
January 2010
Calculation of the propagation constants and fields of polarized electromagnetic TM wav...
Journal of Communications Technology and Electronics
April 2009
Propagation of TM waves in a Kerr nonlinear layer
Computational Mathematics and Mathematical Physics
December 2008
A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a non...
Russian Mathematics
October 2008
Calculation of the propagation constants of TM electromagnetic waves in a nonlinear layer
Journal of Communications Technology and Electronics
August 2008