An Exterior Differential System for a Generalized Korteweg-de Vries Equation and its Associated Integrability

被引：0
作者：
Paul Bracken
机构：
[1] University of Texas,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2007年 / 95卷
关键词：
Generalized KdV equation; Exterior differential system; Cartan prolongation; Solitons; 35A30; 32A25; 35C05;
D O I：
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学科分类号：
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 Bäcklund transformation for the equation is derived as well as the associated potential equation.
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页码：223 / 231
页数：8
相关论文
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