New multi-soliton solutions of a (3+1)-dimensional nonlinear evolution equation

被引:39
|
作者
Liu, Na [1 ,2 ]
Liu, Yansheng [1 ]
机构
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Shandong Univ Polit Sci & Law, Sch Business, Jinan 250014, Peoples R China
关键词
Multi-soliton solution; Homoclinic test approach; Three-wave method; Nonlinear evolution equation; SOLITON-SOLUTIONS; WAVE; TRANSFORMATION;
D O I
10.1016/j.camwa.2016.03.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, applying homoclinic test approach to a (3+1)-dimensional nonlinear evolution equation, new kink breather soliton solutions are obtained. In addition, some new multi-soliton solutions are obtained via three-wave method. It is shown that the homoclinic test approach and the three-wave method can be used for constructing multi-soliton solutions of nonlinear evolution equations in mathematical physics. (C) 2016 Elsevier Ltd. All rights reserved.
引用
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页码:1645 / 1654
页数:10
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