Multi-kink solutions and soliton fission and fusion of Sharma-Tasso-Olver equation

被引：50
作者：
Chen, Aihua [1 ]
机构：
[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 23期
关键词：
Sharma-Tasso-Olver equation; Darboux transformation; Multi-kink solution; Soliton fission and fusion; BOUSSINESQ-BURGERS EQUATION; DARBOUX TRANSFORMATION;
D O I：
10.1016/j.physleta.2010.03.054
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
From the Levi spectral problem, we obtain two basic Darboux transformations of the Sharma-Tasso-Olver equation. Then from the trivial seed solution, we obtain multi-kink solutions and soliton fission and fusion solutions of this equation. (C) 2010 Elsevier B.V. All rights reserved.
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收藏
页码：2340 / 2345
页数：6
相关论文
共 11 条
[1]  
Ablowitz M.J., 2000, SIAM STUDIES APPL MA, V4
[2]   Darboux transformation and soliton solutions for Boussinesq-Burgers equation [J].
Chen, AH ;
Li, XM .
CHAOS SOLITONS & FRACTALS, 2006, 27 (01) :43-49
[3]  
Chowdhury A. R., 1999, CHAPMAN HALL CRC MON, V105
[4]  
Gu C., 2005, MATH PHYS STUDIES, V26
[5]   Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation [J].
Li, XM ;
Chen, AH .
PHYSICS LETTERS A, 2005, 342 (5-6) :413-420
[6]   Darboux transformations of classical Boussinesq system and its new solutions [J].
Li, YS ;
Ma, WX ;
Zhang, JE .
PHYSICS LETTERS A, 2000, 275 (1-2) :60-66
[7]   Symmetries and exact solutions of the Sharma-Tass-Olver equation [J].
Lian, Zeng-ju ;
Lou, S. Y. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) :E1167-E1177
[8]   Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs [J].
Lin, Ji ;
Ren, Bo ;
Li, Hua-mei ;
Li, Yi-shen .
PHYSICAL REVIEW E, 2008, 77 (03)
[9]  
Olver PJ., 2000, APPL LIE GROUPS DIFF
[10]   Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation [J].
Wang, S ;
Tang, XY ;
Lou, SY .
CHAOS SOLITONS & FRACTALS, 2004, 21 (01) :231-239
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