AN APPLICATION OF PROLONGATION ALGEBRAS TO DETERMINE BACKLUND TRANSFORMATIONS FOR NONLINEAR EQUATIONS

被引：0

作者：

Bracken, Paul ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Edinburg, TX 78541 USA

来源：

PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2015年

关键词：

algebra; Backlund transformation; differential form; nonlinear equation; prolongation;

D O I：

10.7546/giq-16-2015-167-177

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Prolongation algebras which are determined by applying a version of the Wahlquist-Estabrook method to three different nonlinear partial differential equations can be employed to obtain not only Lax pairs but Backlund transformations as well. By solving Maurer-Cartan equations for the related group specified by the prolongation algebra, a set of differential forms is obtained which can lead directly to these kinds of results. Although specific equations are studied, the approach should be applicable to large classes of partial differential equations.

引用

页码：167 / 177

页数：11

共 14 条

[1]

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[2]

[Anonymous], 1985, Solitons in mathematics and physics

[3]

[Anonymous], STUDIES MATH PHYS

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