An exterior differential system for a generalized Korteweg-de Vries equation and its associated integrability

被引：10

作者：

Bracken, Paul ^{[1
]}

机构：

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

来源：

ACTA APPLICANDAE MATHEMATICAE | 2007年 / 95卷 / 03期

关键词：

generalized KdV equation; exterior differential system; Cartan prolongation; solitons;

D O I：

10.1007/s10440-007-9086-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of Cartan is reviewed by applying it to the classical Korteweg-de Vries equation. The method is then applied to a new generalized Korteweg-de Vries equation for which a prolongation is obtained. As a consequence, a Backlund transformation for the equation is derived as well as the associated potential equation.

引用

页码：223 / 231

页数：9

共 10 条

[1] Some methods for generating solutions to the Korteweg-de Vries equation [J].