Some methods for generating solutions to the Korteweg-de Vries equation

被引：5

作者：

Bracken, P ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Edinburg, TX 78541 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 335卷 / 1-2期

关键词：

KdV equation; differential constraints; soliton; Painleve equation;

D O I：

10.1016/j.physa.2003.11.026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The constraint equation which must hold for the reciprocal of a known solution for the Korteweg-de Vries (KdV) equation to be a solution itself is derived. These reciprocal solutions are required to satisfy a differential equation which is in fact a Painleve equation. A differential constraint is also derived which allows the product of two solutions of the KdV equation to be a new solution as well. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：70 / 78

页数：9

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