Painlevé integrability and a new exact solution of a generalized Hirota–Satsuma equation-Reference-Cited by-同舟云学术

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Painlevé integrability and a new exact solution of a generalized Hirota–Satsuma equation

Published:2017-12-13 Issue:35 Volume:31 Page:1750333
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Ye Yujian¹,Di Yanmei²,Song Junquan²

Affiliation:

1. School of Management, Hangzhou Dianzi University, Hangzhou 310018, China

2. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

Abstract

In this paper, Painlevé integrability of a generalized Hirota–Satsuma (gHS) equation is confirmed by using the Weiss–Tabor–Carnevale (WTC) test. Then, a new exact solution with two arbitrary functions is constructed. Some new soliton structures are illustrated analytically by selecting appropriate functions.

Funder

The Foundation of the Department of Education of Zhejiang Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798491750333X

Reference13 articles.

1. Localized excitations in (2+1)-dimensional systems

2. Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems

3. Diversity of exact solutions to a restricted Boiti–Leon–Pempinelli dispersive long-wave system

4. Nonlinear evolution equations admitting multilinear variable separable solutions

5. Bäcklund Transformations and Solutions of Some Generalized Nonlinear Evolution Equations

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