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.
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页码：15 / 64
页数：50
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