Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation-Reference-Cited by-同舟云学术

Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation

Published:2019-12-29 Issue: Volume:2019 Page:1-12
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Li Yan¹²,Chaolu Temuer²^ORCID,Bai Yuexing³

Affiliation:

1. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China

2. College of Art and Sciences, Shanghai Maritime University, Shanghai 201306, China

3. School of Information Engineering, Shanghai Maritime University, Shanghai 201306, China

Abstract

In this paper, with the help of symbolic computation, three types of rational solutions for the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation are derived. By means of the truncated Painlevé expansion, we show that the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation can be written as a trilinear-linear equation, from which we get explicit representation for rational solutions of the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2019/6342042.pdf

Reference31 articles.

1. Darboux Transformations and Solitons

2. Applications of Symmetry Methods to Partial Differential Equations

3. Kink Solutions for a Class of Generalized Dissipative Equations

4. Approximate symmetries in nonlinear viscoelastic media

5. The Direct Method in Soliton Theory

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