Lump Solutions for the (3+1)-Dimensional Kadomtsev-Petviashvili Equation

被引：7

作者：

Liu, De-Yin ^{[1
,2
]}

Tian, Bo ^{[1
,2
]}

Xie, Xi-Yang ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab of Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2016年 / 71卷 / 12期

基金：

中国国家自然科学基金;

关键词：

(3+1)-Dimensional Kadomtsev-Petviashvili Equation; Lump Solutions; Symbolic Computation; MULTIPLE-SOLITON-SOLUTIONS; RATIONAL SOLUTIONS;

D O I：

10.1515/zna-2016-0312

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this article, we investigate the lump solutions for the Kadomtsev-Petviashvili equation in (3 + 1) dimensions that describe the dynamics of plasmas or fluids. Via the symbolic computation, lump solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili equation are derived based on the bilinear forms. The conditions to guarantee analyticity and rational localisation of the lump solutions are presented. The lump solutions contain eight parameters, two of which are totally free, and the other six of which need to satisfy the presented conditions. Plots with particular choices of the involved parameters are made to show the lump solutions and their energy distributions.

引用

页码：1139 / 1141

页数：3

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