Constructing families of soliton-like solutions to a (2+1)-dimensional breaking soliton equation using symbolic computation

被引：47
作者：
Yan, ZY [1 ]
Zhang, HQ [1 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 10-11期
基金：
美国国家科学基金会;
关键词：
nonlinear evolution equation; breaking soliton equation; symbolic computation; exact solution; soliton-like solution;
D O I：
10.1016/S0898-1221(02)00268-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The application of computer algebra to science has a bright future. In this paper, using computerized symbolic computation, new families of soliton-like solutions are obtained for (2+1)-dimensional breaking soliton equations using an ansatz. These solutions contain traveling wave solutions that are of important significance in explaining some physical phenomena. The method can also be applied to other types of nonlinear evolution equations in mathematical physics. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1439 / 1444
页数：6
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