Symmetry reduction and explicit solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli system

被引：7
|
作者：
Fei, Jinxi [1 ]
Ma, Zhengyi [1 ]
Chen, Yuanming [1 ]
机构：
[1] Lishui Univ, Coll Sci, Lishui 323000, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷
基金：
中国国家自然科学基金;
关键词：
Boiti-Leon-Pempinelli system; Symmetry reduction; Explicit solution; Soliton excitation; SIMILARITY REDUCTIONS; EQUATION;
D O I：
10.1016/j.amc.2015.06.086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Through the standard truncated Painleve expansion of the Boiti-Leon-Pempinelli equation, the residual symmetry is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariances are derived through the obtained symmetries. At the same time, the symmetry of the equation is also derived utilizing the Clarkson-Kruskal direct method. From which, through solving the characteristic equations, several types of the explicit reduction solutions that related the hyperbolic tangent function are obtained. Finally, some kink-type soliton excitations are depicted from one of them. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：432 / 438
页数：7
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