Bilinear Bäcklund transformation, Lax pair and multi-soliton solution for a vector Ramani equation-Reference-Cited by-同舟云学术

Bilinear Bäcklund transformation, Lax pair and multi-soliton solution for a vector Ramani equation

Published:2017-04-27 Issue:12 Volume:31 Page:1750133
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Chen Junchao¹²,Feng Bao-Feng³,Chen Yong²

Affiliation:

1. Department of Mathematics, Lishui University, Lishui 323000, China

2. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

3. Department of Mathematics, The University of Texas Rio Grande Valley, Edinburg, TX 78539, USA

Abstract

In this paper, a vector Ramani equation is proposed by using the bilinear approach. With the help of the bilinear exchange formulae, bilinear Bäcklund transformation and the corresponding Lax pair for the vector Ramani equation are derived. Besides, multi-soliton solution expressed by pfaffian is given and proved by pfaffian techniques.

Funder

Global Change Research Program of China

National Natural Science Foundation of China

Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984917501330

Reference20 articles.

1. The Direct Method in Soliton Theory