Wronskian and Grammian solutions to a (3+1)-dimensional generalized KP equation

被引：126

作者：

Ma, Wen-Xiu ^{[1
]}

Abdeljabbar, Alrazi ^{[1
]}

Asaad, Magdy Gamil ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 24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：

Hirota bilinear form; Wronskian solution; Grammian solution; TODA LATTICE EQUATION; DE-VRIES EQUATION; COMPLEXITON SOLUTIONS; BOUSSINESQ EQUATION; SOLITON-SOLUTIONS; FORM;

D O I：

10.1016/j.amc.2011.04.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wronskian and Grammian formulations are established for a (3 + 1)-dimensional generalized KP equation, based on the Plucker relation and the Jacobi identity for determinants. Generating functions for matrix entries satisfy a linear system of partial differential equations involving a free parameter. Examples of Wronskian and Grammian solutions are computed and a few particular solutions are plotted. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：10016 / 10023

页数：8

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