ON THE NONSYMMETRIC NOVIKOV-VESELOV HIERARCHY

被引：5

作者：

DORFMAN, IY ^{[1
]}

ATHORNE, C ^{[1
]}

机构：

[1] UNIV GLASGOW,DEPT MATH,GLASGOW G12 8QW,SCOTLAND

来源：

PHYSICS LETTERS A | 1993年 / 182卷 / 4-6期

关键词：

D O I：

10.1016/0375-9601(93)90410-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a hierarchy which incorporates a nonsymmetric Novikov-Veselov equation (whose symmetrization is the usual version) which is Hamiltonian and integrable.

引用

页码：369 / 372

页数：4

共 10 条

[1] ON THE MOUTARD TRANSFORMATION FOR INTEGRABLE PARTIAL-DIFFERENTIAL EQUATIONS [J].

ATHORNE, C ;

NIMMO, JJC .

INVERSE PROBLEMS, 1991, 7 (06) :809-826

[2] INTEGRABLE EQUATIONS IN (2+1) DIMENSIONS ASSOCIATED WITH SYMMETRICAL AND HOMOGENEOUS SPACES [J].

ATHORNE, C ;

FORDY, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (09) :2018-2024

[3]

ATHORNE C, IN PRESS J MATH PHYS

[4] HAMILTONIAN THEORY OVER NONCOMMUTATIVE RINGS AND INTEGRABILITY IN MULTIDIMENSIONS [J].

DORFMAN, IY ;

FOKAS, AS .

JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (07) :2504-2514

[5] DROMIONS AND A BOUNDARY-VALUE PROBLEM FOR THE DAVEY-STEWARTSON-1 EQUATION [J].

FOKAS, AS ;

SANTINI, PM .

PHYSICA D-NONLINEAR PHENOMENA, 1990, 44 (1-2) :99-130

[6] RECURSION OPERATORS AND BI-HAMILTONIAN STRUCTURES IN MULTIDIMENSIONS .2. [J].

FOKAS, AS ;

SANTINI, PM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 116 (03) :449-474

[7]

Gel'fand I. M., 1990, COLLECTED WORKS

[8] NIJENHUIS G-MANIFOLDS AND LENARD BICOMPLEXES - A NEW APPROACH TO KP SYSTEMS [J].

MAGRI, F ;

MOROSI, C ;

TONDO, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :457-475

[9]

Matveev V B., 1991, DARBOUX TRANSFORMATI

[10] TWO-DIMENSIONAL SCHRODINGER OPERATOR - INVERSE SCATTERING TRANSFORM AND EVOLUTIONAL EQUATIONS [J].

NOVIKOV, SP ;

VESELOV, AP .

PHYSICA D, 1986, 18 (1-3) :267-273

← 1 →