Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart

被引：37
|
作者：
Asaad, Magdy G. [1 ]
Ma, Wen-Xiu [1 ]
机构：
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Pfaffian solutions; BKP equation; Modified BKP equation; Bilinear Backlund transformation; Soliton solutions; Wave solutions; Rational solutions; DE-VRIES EQUATION; COMPLEXITON SOLUTIONS; BACKLUND-TRANSFORMATIONS; SOLITON-SOLUTIONS; BKP EQUATIONS; PROPAGATION;
D O I：
10.1016/j.amc.2011.11.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of exact Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation is obtained. A set of sufficient conditions consisting of systems of linear partial differential equations involving free parameters is generated to guarantee that the Pfaffian solves the equation. A Backlund transformation of the equation is presented. The equation is transformed into a set of bilinear equations, and a few classes of traveling wave solutions, rational solutions and Pfaffian solutions to the extended bilinear equations are furnished. Examples of the Pfaffian solutions are explicitly computed, and a few solutions are plotted. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5524 / 5542
页数：19
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