Bifurcations and New Exact Travelling Wave Solutions of the Coupled Nonlinear Schrödinger-KdV Equations
Year: 2016
Author: Heng Wang, Shuhua Zheng
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 288–295
Abstract
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-KdV equations are studied. Based on this method, all phase portraits of the system in the parametric space are given. All possible bounded travelling wave solutions such as solitary wave solutions and periodic travelling wave solutions are obtained. With the aid of Maple software, the numerical simulations are conducted for solitary wave solutions and periodic travelling wave solutions to the coupled nonlinear Schrödinger-KdV equations. The results show that the presented findings improve the related previous conclusions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20644
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 288–295
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: dynamical system method coupled nonlinear Schrödinger-KdV equations solitary wave solution periodic travelling wave solution numerical simulation.