Backlund transformations for the Nizhnik-Novikov-Veselov equation

被引：8

作者：

Vekslerchik, VE ^{[1
]}

机构：

[1] Inst Radiophys & Elect, Kharkov, Ukraine

[2] Univ Castilla La Mancha, E-13071 Ciudad Real, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 21期

关键词：

D O I：

10.1088/0305-4470/37/21/012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Backlund transformations for the Nizhnik-Novikov-Veselov equation are presented. It is shown that these transformations can be iterated and that the resulting sequence can be described by the Volterra equations. The relationships between the Nizhnik-Novikov-Veselov equation and the Volterra hierarchy are discussed.

引用

页码：5667 / 5678

页数：12

共 18 条

[1]

[Anonymous], SOVIET MATH DOKL

[2] Charged free fermions, vertex operators and the classical theory of conjugate nets [J].

Doliwa, A ;

Mañas, M ;

Alonso, LM ;

Medina, E ;

Santini, PM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (07) :1197-1216

[3] ON THE NONSYMMETRIC NOVIKOV-VESELOV HIERARCHY [J].

DORFMAN, IY ;

ATHORNE, C .

PHYSICS LETTERS A, 1993, 182 (4-6) :369-372

[4]

Flaschka H., 1983, Non-Linear Integrable Systems - Classical Theory and Quantum Theory. Proceedings of RIMS Symposium, P219

[5] SOLITONS AND INFINITE DIMENSIONAL LIE-ALGEBRAS [J].

JIMBO, M ;

MIWA, T .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :943-1001

[6] ON GENERALIZED LOEWNER SYSTEMS - NOVEL INTEGRABLE EQUATIONS IN 2 + 1 DIMENSIONS [J].

KONOPELCHENKO, BG ;

ROGERS, C .

JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (01) :214-242

[7] On the Hirota representation of soliton equations with one tau-function [J].

Lambert, F ;

Loris, I ;

Springael, J ;

Willox, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2001, 70 (03) :605-608

[8] Elementary, binary and Schlesinger transformations in differential ring geometry [J].

Leble, SB .

EUROPEAN PHYSICAL JOURNAL B, 2002, 29 (02) :189-192

[9] NON-LINEAR DIFFERENTIAL DIFFERENCE-EQUATIONS AS BACKLUND-TRANSFORMATIONS [J].

LEVI, D .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (05) :1083-1098

[10] BACKLUND-TRANSFORMATIONS AND NON-LINEAR DIFFERENTIAL DIFFERENCE-EQUATIONS [J].

LEVI, D ;

BENGURIA, R .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1980, 77 (09) :5025-5027

← 1 2 →