Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2+1 dimensions

被引：15

作者：

Estevez, P. G. ^{[1
]}

Sardon, C. ^{[1
]}

机构：

[1] Univ Salamanca, Dept Fis Fundamental, E-37008 Salamanca, Spain

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2013年 / 20卷 / 04期

关键词：

reciprocal transformations; integrable hierarchies; spectral problems; PARTIAL-DIFFERENTIAL-EQUATIONS; BACKLUND-TRANSFORMATIONS; PAINLEVE PROPERTY; SPECTRAL PROBLEM; LINK;

D O I：

10.1080/14029251.2013.868268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present two hierarchies of partial differential equations in 2 1 dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoyavlenski-Schiff equation and its modified version, we can prove that one of the hierarchies can be considered as a modified version of the other. The connection between them can be achieved by means of a combination of reciprocal and Miura transformations.

引用

页码：552 / 564

页数：13

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