New infinite sequence soliton-like solutions of Camassa-Holm-r equation-Reference-Cited by-同舟云学术

New infinite sequence soliton-like solutions of Camassa-Holm-r equation

Published:2014 Issue:12 Volume:63 Page:120201
ISSN:1000-3290
Container-title:Acta Physica Sinica
language:
Short-container-title:Acta Phys. Sin.

Author:

Taogetusang ,Yi Li-Na ,

Abstract

The method of combining function transformations with auxiliary equation is presented to search for new infinite sequence soliton-like solutions of Camassa-Holm-r (CH-r) equation. And many new conclusions are obtained. Step one,according to some function transformations, CH-r equation is changed into the solvable ordinary differential equation. Step two, new infinite sequence soliton-like solutions of CH-r equation are constructed by applying new solutions and Bäcklund transformation of the solvable ordinary differential equation.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

Reference26 articles.

1. Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661

2. Tian L X, Xu G, Liu Z R 2002 Appl. Math. Mech. 23 497 (in Chinese) [田立新, 许刚, 刘曾荣 2002 应用数学和力学 23 497]

3. Alber M S, Camassa R 1994 Lett. Math. Phys. 32 137

4. Clarkson P A, Mansfield E L, Priestley T J 1997 Math. Comput. Model. 25 195

5. Xin Z P, Zhang P 2000 Comm. Pure. Appl. Math. 53 1411

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Construction of New Infinite-Series Exact Solitary Wave Solutions and Its Application to the Korteweg–De Vries Equation;Fractal and Fractional;2023-01-09