On the integrable perturbations of the Camassa-Holm equation

被引：12

作者：

Kraenkel, RA ^{[1
]}

Senthilvelan, M ^{[1
]}

Zenchuk, AI ^{[1
]}

机构：

[1] Univ Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 05期

关键词：

D O I：

10.1063/1.533298

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an investigation of the nonlinear partial differential equations (PDE) which are asymptotically representable as a linear combination of the equations from the Camassa-Holm hierarchy. For this purpose we use the infinitesimal transformations of dependent and independent variables of the original PDE. This approach is helpful for the analysis of the systems of the PDE which can be asymptotically represented as the evolution equations of polynomial structure. (C) 2000 American Institute of Physics. [S0022-2488(00)02605-0].

引用

页码：3160 / 3169

页数：10

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