Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

被引：15

作者：

Qin, Yuxin ^{[1
]}

Liu, Yinping ^{[2
]}

机构：

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

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

来源：

CHINESE JOURNAL OF PHYSICS | 2021年 / 71卷

基金：

中国国家自然科学基金;

关键词：

Kadomtsev-Petviashvili equation; Interaction solution; Multiwave solution; Direct algebraic method; Simplified Hirota method; WAVE SOLUTIONS; ROGUE WAVE; SOLITON; BREATHER; SYSTEM; LUMP;

D O I：

10.1016/j.cjph.2021.03.001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method together with the inheritance solving skill. Moreover, a new algorithm is proposed with the aid of the simplified Hirota method, the conjugated parameters assignment and long wave limit strategies, from which multiwave interaction solutions among solitons, breathers and lump waves are generated.

引用

页码：561 / 573

页数：13

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