On the nonlocal equations and nonlocal charges associated with the Harry Dym hierarchy

被引：18

作者：

Brunelli, JC

da Costa, GATF

机构：

[1] Univ Fed Santa Catarina, CFM, Dept Fis, BR-88040900 Florianopolis, SC, Brazil

[2] Univ Fed Santa Catarina, CFM, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2002年 / 43卷 / 12期

关键词：

D O I：

10.1063/1.1512974

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A large class of nonlocal equations and nonlocal charges for the Harry Dym hierarchy is exhibited. They are obtained from nonlocal Casimirs associated with its bi-Hamiltonian structure. The Lax representation for some of these equations is also given. (C) 2002 American Institute of Physics.

引用

收藏

页码：6116 / 6128

页数：13

相关论文

共 24 条

[11]

KRUSKAL MD, 1975, LECTURE NOTES PHYSIC, V38, P310

[12] SYMMETRIES OF THE KDV EQUATION AND 4 HIERARCHIES OF THE INTEGRODIFFERENTIAL KDV EQUATIONS [J].

LOU, SY .

JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (05) :2390-2396

[13] SYMMETRIES AND LIE-ALGEBRAS OF THE HARRY-DYM HIERARCHY [J].

LOU, SY .

CHAOS SOLITONS & FRACTALS, 1994, 4 (10) :1961-1964

[14] SIMPLE-MODEL OF INTEGRABLE HAMILTONIAN EQUATION [J].

MAGRI, F .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (05) :1156-1162

[15]

Olver P J, 1993, APPL LIE GROUPS DIFF

[16] Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support [J].

Olver, PJ ;

Rosenau, P .

PHYSICAL REVIEW E, 1996, 53 (02) :1900-1906

[17] New hierarchies of isospectral and non-isospectral integrable NLEEs derived from the Harry-Dym spectral problem [J].

Qiao, ZJ .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1998, 252 (3-4) :377-387

[18] SOME SPECTRAL PROBLEMS AND ISOSPECTRAL EVOLUTIONS CONNECTED WITH THE CLASSICAL STRING PROBLEM .1. CONSTANTS OF MOTION [J].

SABATIER, PC .

LETTERE AL NUOVO CIMENTO, 1979, 26 (15) :477-482

[19] On recursion operators [J].

Sanders, JA ;

Wang, JP .

PHYSICA D-NONLINEAR PHENOMENA, 2001, 149 (1-2) :1-10

[20] NEGATIVE POWERS OF OLVER RECURSION OPERATORS [J].

VEROSKY, JM .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (07) :1733-1736