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Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity
Author(s) -
M. Srivastava Hari,
Günerhan Hatira,
Ghanbari Behzad
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5827
Subject(s) - maple , mathematics , nonlinear system , traveling wave , soliton , exponential function , nonlinear schrödinger equation , mathematical analysis , exact solutions in general relativity , symbolic computation , resonance (particle physics) , function (biology) , schrödinger equation , physics , quantum mechanics , botany , biology , evolutionary biology
The main aim of this article is to present some new exact solutions of the resonant nonlinear Schrödinger equation. These solutions are derived by using the generated exponential rational function method (GERFM). The kink‐type, bright, dark, and singular soliton solutions are reported, and several numerical simulations are also included. The calculations are carried out by Maple software. All of the solutions that are derived in this paper are believed to be new and have presumably not been reported in earlier publications.