A study on nonlinear dispersive partial differential equations of compact and noncompact solutions

被引：34

作者：

Wazwaz, AM ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 135卷 / 2-3期

关键词：

compactons; solitons; dispersion; burgers equation;

D O I：

10.1016/S0096-3003(02)00005-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study two genuinely nonlinear dispersive partial differential equations in one- and higher-dimensional spaces. We show that the focusing branch and the defocusing branch of these equations each leads to a different physical structure. In addition, we develop general solutions of compact and noncompact support which are not obtainable through classic techniques. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：399 / 409

页数：11

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