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.
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页码：70 / 78
页数：9
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