TY - JOUR
T1 - Bifurcations and New Exact Travelling Wave Solutions of the Coupled Nonlinear Schrödinger-KdV Equations
AU - Wang , Heng
AU - Zheng , Shuhua
JO - Annals of Applied Mathematics
VL - 3
SP - 288
EP - 295
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20644.html
KW - dynamical system method, coupled nonlinear Schrödinger-KdV equations, solitary wave solution, periodic travelling wave solution, numerical simulation.
AB - <p style="text-align: justify;">By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schr<span style="text-align: justify;">ö</span>dinger-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.</p>