Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation

DOI10.1134/S1560354719060029zbMath1434.78022OpenAlexW2996757224MaRDI QIDQ2297601

Dariya V. Safonova, Nikolay A. Kudryashov, Anjan Biswas

Publication date: 20 February 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354719060029

zbMATH Keywords

exact solutionintegrabilitygeneral solutiontraveling wavesRadhakrishnan-Kundu-Laksmanan equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Solutions to PDEs in closed form (35C05) Elliptic functions and integrals (33E05) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

Optical solitons of model with integrable equation for wave packet envelope, Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity, Embedded solitons of the generalized nonlinear Schrödinger equation with high dispersion, Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation, ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL RADHAKRISHNAN–KUNDU–LAKSHMANAN EQUATION, Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme, Highly dispersive optical solitons of an equation with arbitrary refractive index, Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies, Conservation laws for solitons in magneto-optic waveguides with anti-cubic and generalized anti-cubic nonlinearities

Uses Software

• ATFM

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