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

Solitary wave, lump and their interactional solutions of the (3+1)-dimensional nonlinear evolution equation
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(3 1)维非线性演化方程的孤立波、块及其相互作用解

DOI:
10.1088/1402-4896/ab20d2
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发表时间:
2019
期刊:
影响因子:
2.9
通讯作者:
Zhou Ai-Juan
Zhou Ai-Juan
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Lan Lan;Chen Ai-Hua;Zhou Ai-Juan

文献摘要

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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.