Four (2+1)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation

被引：9
|
作者：
Wazwaz, Abdul-Majid [1 ]
机构：
[1] St Francis Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 10期
关键词：
Nonlinear (2+1)-dimensional KP extensions; Hirota bilinear method; Multiple-soliton solutions; Multiple singular soliton solutions; Resonance; MULTIPLE-SOLITON SOLUTIONS; HIROTA 3-SOLITON CONDITION; MODEL-EQUATIONS; FRONT SOLUTIONS; KINK SOLUTIONS; SEARCH;
D O I：
10.1016/j.amc.2009.11.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, four (2 + 1)-dimensional nonlinear extensions of the Kadomtsev-Petviashvili (KP) equation are developed. The complete integrability of these models are investigated. Multiple-soliton solutions and multiple singular soliton solutions are determined to demonstrate the compatibility of these models. The resonance phenomenon does not exist for any of the derived models. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：3631 / 3644
页数：14
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