FINITE-GAP SOLUTIONS OF THE HARRY DYM EQUATION

被引：26

作者：

DMITRIEVA, LA

机构：

[1] Department of Mathematical and Computational Physics, Institute for Physics, Saint Petersburg University, Saint Petersburg

来源：

PHYSICS LETTERS A | 1993年 / 182卷 / 01期

关键词：

D O I：

10.1016/0375-9601(93)90054-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The approach recently proposed for multisoliton integration of the Harry Dym equation is generalized to the finite-gap case. By this method N-gap solutions of the Harry Dym system are constructed and their degeneracy to the N-soliton case is considered.

引用

页码：65 / 70

页数：6

共 17 条

[1]

[Anonymous], 1982, SPECTRAL TRANSFORM S

[2] THE WKIS SYSTEM - BACKLUND-TRANSFORMATIONS, GENERALIZED FOURIER-TRANSFORMS AND ALL THAT [J].

BOITI, M ;

GERDJIKOV, VS ;

PEMPINELLI, F .

PROGRESS OF THEORETICAL PHYSICS, 1986, 75 (05) :1111-1141

[3] ELLIPTIC SOLUTIONS, RECURSION OPERATORS AND COMPLETE LIE-BACKLUND SYMMETRY FOR THE HARRY-DYM EQUATION [J].

CHOWDHURY, AR ;

MUKHERJEE, R .

PHYSICA SCRIPTA, 1984, 29 (04) :293-295

[4]

DMITRIEVA LA, IN PRESS J PHYS A

[5] Explicit solutions for the Harry Dym equation [J].

FUCHSSTEINER, B ;

SCHULZE, T ;

CARILLO, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (01) :223-230

[6]

GUO BY, 1989, SCI CHINA SER A, V32, P283

[7] DERIVATION AND IMPLICIT SOLUTION OF THE DYM,HARRY, EQUATION AND ITS CONNECTIONS WITH THE KORTEWEG-DEVRIES EQUATION [J].

HEREMAN, W ;

BANERJEE, PP ;

CHATTERJEE, MR .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (03) :241-255

[8]

IBRAGIMOV N, 1981, CR ACAD SCI I-MATH, V293, P657

[9] A RELATIONSHIP BETWEEN THE ABLOWITZ-KAUP-NEWELL-SEGUR AND WADATI-KONNO-ICHIKAWA SCHEMES OF THE INVERSE SCATTERING METHOD [J].

ISHIMORI, Y .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1982, 51 (09) :3036-3041

[10] AN EXACT TRANSFORMATION FROM THE HARRY DYM EQUATION TO THE MODIFIED KDV EQUATION [J].

KAWAMOTO, S .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1985, 54 (05) :2055-2056

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