Stability of multi-compacton solutions and Backlund transformation in K(m,n,1)

被引：29
作者：
Tian, LX [1 ]
Yin, JL [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212003, Jiangsu, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2004.04.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a fifth-order K(m, n, 1) equation with nonlinear dispersion to obtain multi-compacton solutions by Adomian decomposition method. Using the homogeneous balance (HB) method, we derive a Backlund transformation of a special equation K(2,2,1) to determine some solitary solutions of the equation. To study the stability of multicompacton solutions in K(m,n,1) and to obtain some conservation laws, we present a similar fifth-order equation derived from Lagrangian. We finally show the linear stability of all obtained multi-compacton solutions. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：159 / 169
页数：11
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