Solitary wave, lump and their interactional solutions of the (3+1)-dimensional nonlinear evolution equation

被引：6

作者：

Lan, Lan ^{[1
]}

Chen, Ai-Hua ^{[1
]}

Zhou, Ai-Juan ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

PHYSICA SCRIPTA | 2019年 / 94卷 / 10期

基金：

中国国家自然科学基金;

关键词：

solitary wave solution; soliton solution; fusional solution; lump solution; interactional solution; SHALLOW-WATER; BACKLUND TRANSFORMATION; MULTISOLITON SOLUTIONS; VECTOR MULTIPOLE; VORTEX SOLITONS; KP EQUATION; FORM; DYNAMICS; SYSTEM; MEDIA;

D O I：

10.1088/1402-4896/ab20d2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study exact solutions of the (3 + 1)-dimensional nonlinear evolution equation including soliton solutions, fusional solutions, lump solutions and their interactional solutions. From the bilinear form, we get N-soliton solutions. For special parameters, we find three fusional solutions. Via the long wave limit method, we obtain M-lump solutions from 2M-soliton solutions. We also study interactional solutions which describe interactions of a lump and a soliton, a lump and two solitons, a lump and fusional solitary waves. The properties of obtained exact solutions are analyzed graphically and theoretically by using asymptotic analysis in details.

引用

页数：12

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