Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source

被引：96

作者：

Yong, Xuelin ^{[1
,2
]}

Ma, Wen-Xiu ^{[2
,3
,4
,5
]}

Huang, Yehui ^{[1
]}

Liu, Yong ^{[1
]}

机构：

[1] North China Elect Power Univ, Sch Math Sci & Phys, Beijing 102206, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

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

[5] North West Univ, Dept Math Sci, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 09期

基金：

美国国家科学基金会;

关键词：

KPI equation with a self-consistent source; Hirota bilinear method; Lump solution; NONLINEAR INTEGRABLE SYSTEMS; KP EQUATION; DARBOUX TRANSFORMATIONS; SOLITON-SOLUTIONS; KINK SOLUTIONS; BACKLUND TRANSFORMATION; VRIES EQUATION; KDV HIERARCHY; BKP EQUATION; JIMBO-MIWA;

D O I：

10.1016/j.camwa.2018.02.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on symbolic computations, lump solutions to the Kadomtsev-Petviashvili I (KPI) equation with a self-consistent source (KPIESCS) are constructed by using the Hirota bilinear method and an ansatz technique. In contrast with lower-order lump solutions of the Kadomtsev-Petviashvili (KP) equation, the presented lump solutions to the KPIESCS exhibit more diverse nonlinear phenomena. The method used here is more natural and simpler. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：3414 / 3419

页数：6

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