Lump and lump-soliton interaction solutions for an integrable variable coefficient Kadomtsev-Petviashvili equation

被引：0

作者：

Xin Wang ^{[1
]}

Jina Li ^{[1
]}

Lei Wang ^{[2
]}

Jiao Wei ^{[3
]}

Bowen Guo ^{[1
]}

机构：

[1] College of Science, Zhongyuan University of Technology

[2] School of Mathematics and Physics, North China Electric Power University

[3] School of Mathematics and Statistics, Zhengzhou University

来源：

Communications in Theoretical Physics | 2020年 / 72卷 / 03期

关键词：

variable coefficient KP equation; binary Darboux transformation; lump solution; lump-soliton interaction solution;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

For a variable coefficient Kadomtsev-Petviashvili (KP) equation the Lax pair as well as conjugate Lax pair are derived from the Painleve analysis.The N-fold binary Darboux transformation is presented in a compact form.As an application,the multi-lump,higher-order lump and general lump-soliton interaction solutions for the variable coefficient KP equation are obtained.Typical lump structures with amplitudes exponentially decaying to zero as the time tends to infinity and interactions between one lump and one soliton are shown.

引用

页码：3 / 8

页数：6