A class of coupled KdV systems and their bi-Hamiltonian formulation

被引：31

作者：

Ma, WX ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Hong Kong, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 37期

关键词：

D O I：

10.1088/0305-4470/31/37/016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Hamiltonian pair is proposed and thus a type of hereditary operators results. All the corresponding systems of evolution equations possess local bi-Hamiltonian formulation and a special choice of the systems leads to the KdV hierarchy. Illustrative examples are given.

引用

页码：7585 / 7591

页数：7

共 20 条

[1]

[Anonymous], 1993, DIRAC STRUCTURES INT

[2]

[Anonymous], 1991, SOLITON EQUATIONS HA

[3] COUPLED KDV EQUATIONS WITH MULTI-HAMILTONIAN STRUCTURES [J].

ANTONOWICZ, M ;

FORDY, AP .

PHYSICA D, 1987, 28 (03) :345-357

[4] A HIERARCHY OF HAMILTONIAN EVOLUTION-EQUATIONS ASSOCIATED WITH A GENERALIZED SCHRODINGER SPECTRAL PROBLEM [J].

BOITI, M ;

CAUDREY, PJ ;

PEMPINELLI, F .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1984, 83 (01) :71-87

[5] Algorithmic construction of O(3) chiral field equation hierarchy and the Landau-Lifshitz equation hierarchy via polynomial bundle [J].

Bordag, LA ;

Yanovski, AB .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (17) :5575-5590

[6] SYMPLECTIC STRUCTURES, THEIR BACKLUND-TRANSFORMATIONS AND HEREDITARY SYMMETRIES [J].

FUCHSSTEINER, B ;

FOKAS, AS .

PHYSICA D, 1981, 4 (01) :47-66

[7]

FUCHSSTEINER B, 1979, NONLINEAR ANAL, V3, P849, DOI 10.1016/0362-546X(79)90052-X

[8]

Gel'fand I., 1979, FUNCT ANAL APPL, V13, P13, DOI 10.1007/BF01078363

[9]

GELFAND IM, 1981, FUNCT ANAL APPL+, V15, P173

[10] EXTENDING THE HAMILTONIAN STRUCTURES AND NEW INTEGRABLE SYSTEMS [J].

GHOSH, C ;

CHOWDHURY, AR .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (11) :3911-3913

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