Special conditional similarity reductions and exact solutions of the (2+1)-dimensional VCBKK system

被引：4

作者：

Fang, Jian-Ping ^{[1
]}

Li, Jiang-Bo ^{[1
]}

Zheng, Chun-Long ^{[1
]}

Ren, Qing-Bao ^{[1
]}

机构：

[1] Lishui Univ, Coll Math & Phys, Dept Phys, Lishui 323000, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 35卷 / 03期

关键词：

VARIABLE SEPARATION EXCITATIONS; LOCALIZED COHERENT STRUCTURES; KAUP-KUPERSHMIDT EQUATION; EXTENDED MAPPING APPROACH; LEON-PEMPINELLI SYSTEM; WATER WAVE SYSTEM; BOUSSINESQ EQUATION; SOLITONS; FISSION; FUSION;

D O I：

10.1016/j.chaos.2006.05.047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a method of special conditional similarity reductions for nonlinear partial differential equations. As an concrete example of its applications in physical problems, we apply this method to the (2 + l)-dimensional Broer-Kaup-Kupershmidt system with variable coefficients (VCBKK), which has the extensive physics background, and obtain abundant exact solutions derived from some reduction equations. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：530 / 535

页数：6

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