Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation

被引：11

作者：

Cui, Wenying ^{[2
]}

Li, Wei ^{[3
]}

Liu, Yinping ^{[1
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China

[3] East China Normal Univ, Sch Comp Sci & Technol, Shanghai 200241, Peoples R China

来源：

NONLINEAR DYNAMICS | 2020年 / 101卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Simplified Hirota method; Long wave limit; Parameters conjugated assignment; Inheritance solving; Interaction solution; LUMP; WAVES;

D O I：

10.1007/s11071-020-05809-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, by the direct algebraic method, together with the inheritance solving strategy, new types of interaction solutions among solitons, rational waves and periodic waves are constructed for a (3+1)-dimensional nonlinear evolution equation. Meanwhile, based on the simplified Hirota method, its interaction solutions among solitons, breathers and lumps of any higher orders are established by anN-soliton decomposition algorithm, together with the parameters conjugated assignment and long wave limit techniques. Finally, we demonstrate the dynamical behaviors of new interaction solutions by graphs.

引用

页码：1119 / 1129

页数：11

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