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.
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页码：223 / 231
页数：9
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