Parametric Backlund transformations I: Phenomenology

被引：8

作者：

Clelland, JN

Ivey, TA

机构：

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

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 357卷 / 03期

关键词：

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

D O I：

10.1090/S0002-9947-04-03536-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We begin an exploration of parametric Backlund transformations for hyperbolic Monge-Ampere systems. (The appearance of an arbitrary parameter in the transformation is a feature of several well-known completely integrable PDEs.) We compute invariants for such transformations and explore the behavior of four examples, two of which are new, in terms of their invariants, symmetries, and conservation laws. We prove some preliminary results and indicate directions for further research.

引用

页码：1061 / 1093

页数：33

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