Solitary wave solutions, fusionable wave solutions, periodic wave solutions and interactional solutions of the (3+1)-dimensional generalized shallow water wave equation

被引：2

作者：

Zhou, Ai-Juan ^{[1
]}

He, Bing-Jie ^{[1
]}

机构：

[1] Shanghai Univ Engn Sci, Basic Teaching Dept, Shanghai 200434, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 23期

关键词：

Solitary wave solution; fusionable wave solutions; periodic wave solutions; interactional solution; KADOMTSEV-PETVIASHVILI EQUATION; MULTISOLITON SOLUTIONS; EVOLUTION-EQUATIONS; RATIONAL SOLUTIONS; LINE SOLITON; LUMP; FORM;

D O I：

10.1142/S0217984921503899

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we study exact solutions of the generalized shallow water wave equation. Based on the bilinear equation, we get N-solitary wave solutions. For special parameters, we find N-fusionable wave solutions. For complex parameters, periodic wave solutions and elastic interactional solutions of solitary waves with periodic waves are obtained. The properties of obtained exact solutions are also analyzed theoretically and graphically by using asymptotic analysis.

引用

页数：15

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