Toward a theory of integrable hyperbolic equations of third order

被引：11

作者：

Adler, V. E. ^{[1
]}

Shabat, A. B. ^{[1
]}

机构：

[1] LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 39期

关键词：

CAMASSA-HOLM EQUATION; BACKLUND-TRANSFORMATIONS; SYMMETRIES;

D O I：

10.1088/1751-8113/45/39/395207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Examples are considered of integrable third order hyperbolic equations with two independent variables. In particular, an equation is found which admits as evolutionary symmetries the Krichever-Novikov equation and the modified Landau-Lifshitz system. The problem of the choice of dynamical variables for the hyperbolic equations is discussed.

引用

页数：17

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