Localized Structures on Periodic Background Wave of （2＋1）-Dimensional Boiti-Leon-Pempinelli System via an Object Reduction

In this paper, we present an object reduction for nonlinear partial differential equations. As a concrete example of its applications in physical problems, this method is applied to the （2＋1）-dimensional Boiti-Leon-Pempinelli system, which has the extensive physics background, and an abundance of ex...

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Bibliographic Details
Published in:Communications in theoretical physics 2007, Vol.48 (5), p.811-814
Main Author: FANG Jian-Ping MA Song-Hua FEI Jin-Xi HONG Bi-Hai ZHENG Chun-Long
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, we present an object reduction for nonlinear partial differential equations. As a concrete example of its applications in physical problems, this method is applied to the （2＋1）-dimensional Boiti-Leon-Pempinelli system, which has the extensive physics background, and an abundance of exact solutions is derived from some reduction equations. Based on the derived solutions, the localized structures under the periodic wave background are obtained.
ISSN:0253-6102