On the multicomponent weakly interacted generalized (3+1)-dimensional Kadomtsev-Petviashvili equation

被引：0

作者：

An, Ling ^{[1
]}

Li, Chuanzhong ^{[2
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

基金：

中国国家自然科学基金;

关键词：

Backlund transformation; bilinear form; multicomponent weakly interacted KP equation; rogue wave solution; soliton solution; Wronski determinant form; WAVE SOLUTIONS; BACKLUND TRANSFORMATION; ROGUE WAVES; KP;

D O I：

10.1002/mma.7708

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a multicomponent weakly interacted generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation (MWIGKP) from which we can get many different types of equations by choosing different coefficients. Then, we deduce the Backlund transformation and Hirota bilinear equations of the equation. Finally, taking the two-component case as an example, we solve the soliton solutions and the rogue wave solutions in detail. By considering the figures of the weakly coupled rogue wave solutions, we can see that the figure corresponding to first component u is eye shaped, while the figure corresponding to the second component (u) over cap is butterfly shaped.

引用

页码：14411 / 14427

页数：17

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