BACKLUND TRANFORMATIONS AND DARBOUX INTEGRABILITY FOR NONLINEAR WAVE EQUATIONS

被引：0

作者：

Clelland, Jeanne N. ^{[1
]}

Ivey, Thomas A. ^{[2
]}

机构：

[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA

[2] Coll Charleston, Dept Math, Charleston, SC 29424 USA

来源：

ASIAN JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 01期

关键词：

Backlund transformations; hyperbolic Monge-Ampere systems; exterior differential systems; Cartan's method of equivalence; TRANSFORMATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that second-order Monge-Ampere equations for one function of two variables are connected to the wave equation by a Backlund transformation if and only if they are integrable by the method of Darboux at second order.

引用

页码：15 / 64

页数：50

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