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Volume 32, Issue 3
Bifurcations and New Exact Travelling Wave Solutions of the Coupled Nonlinear Schrödinger-KdV Equations

Heng Wang & Shuhua Zheng

Ann. Appl. Math., 32 (2016), pp. 288-295.

Published online: 2022-06

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  • 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.

  • Keywords

dynamical system method, coupled nonlinear Schrödinger-KdV equations, solitary wave solution, periodic travelling wave solution, numerical simulation.

  • AMS Subject Headings

35Q51

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-32-288, author = {Wang , Heng and Zheng , Shuhua}, title = {Bifurcations and New Exact Travelling Wave Solutions of the Coupled Nonlinear Schrödinger-KdV Equations}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {3}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20644.html} }
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 -

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.

Heng Wang & Shuhua Zheng. (2022). Bifurcations and New Exact Travelling Wave Solutions of the Coupled Nonlinear Schrödinger-KdV Equations. Annals of Applied Mathematics. 32 (3). 288-295. doi:
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