NON-ISOSPECTRAL 1+1 HIERARCHIES ARISING FROM A CAMASSA HOLM HIERARCHY IN 2+1 DIMENSIONS

被引：18

作者：

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

Lejarreta, J. D. ^{[1
]}

Sardon, C. ^{[1
]}

机构：

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

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2011年 / 18卷 / 01期

关键词：

Lie symmetries; reductions; Camassa-Holm hierarchy; SINGULAR MANIFOLD METHOD; DIFFERENTIAL-EQUATIONS;

D O I：

10.1142/S140292511100112X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The non-isospectral problem (Lax pair) associated with a hierarchy in 2 + 1 dimensions that generalizes the well known Camassa-Holm hierarchy is presented. Here, we have investigated the non-classical Lie symmetries of this Lax pair when the spectral parameter is considered as a field. These symmetries can be written in terms of five arbitrary constants and three arbitrary functions. Different similarity reductions associated with these symmetries have been derived.

引用

页码：9 / 28

页数：20

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