Multi-soliton solutions bilinear Backlund transformations and Lax pair of non linear evolution equation in (2+1)-dimension

被引:0
作者
Singh, Manjit [1 ]
机构
[1] Punjabi Univ, Yadawindra Coll Engn, Guru Kashi Campus, Talwandi Sabo 151302, Punjab, India
来源
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2015年 / 3卷 / 02期
关键词
Soliton solutions; Bilinear Backlund transformations; Lax pairs; Perturbation expansion;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of associated linear problem or Lax pair are presented in straightforward manner and finally for proposed nonlinear equation, explicit one, two and three soliton solutions are also obtained.
引用
收藏
页码:134 / 146
页数:13
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