The application of the partial derivative-dressing method to some integrable (2+1)-dimensional nonlinear equations

被引：16

作者：

Dubrovsky, VG

机构：

[1] NOVOSIBIRSK STATE TECH UNIV,NOVOSIBIRSK 630092,RUSSIA

[2] UNIV LECCE,DIPARTIMENTO FIS,CONSORTIUM EINSTEIN,I-73100 LECCE,ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 13期

关键词：

D O I：

10.1088/0305-4470/29/13/027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Some integrable (2 + 1)-dimensional nonlinear equations which are the generalizations of dispersive long wave, nonlinear Schrodinger, sinh-Gordon and heat equations are studied by the inverse spectral transform method. The solutions with functional parameters, line solitons and rational solutions of these equations are constructed via partial derivative-dressing method.

引用

页码：3617 / 3630

页数：14

共 17 条

[1] THE NON-LOCAL PARTIAL-DIFFERENTIAL-EQUATION PROBLEM AND (2+1)-DIMENSIONAL SOLITON-EQUATIONS
BOGDANOV, LV
MANAKOV, SV
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (10): : L537 - L544
[2] INTEGRABLE TWO-DIMENSIONAL GENERALIZATION OF THE SINE-GORDON EQUATION AND SINH-GORDON EQUATION
BOITI, M
LEON, JJP
PEMPINELLI, F
[J]. INVERSE PROBLEMS, 1987, 3 (01) : 37 - 49
[3] SPECTRAL TRANSFORM FOR A 2-SPATIAL DIMENSION EXTENSION OF THE DISPERSIVE LONG-WAVE EQUATION
BOITI, M
LEON, JJP
PEMPINELLI, F
[J]. INVERSE PROBLEMS, 1987, 3 (03) : 371 - 387
[4] THE DRESSING METHOD AND NONLOCAL RIEMANN-HILBERT PROBLEMS
FOKAS, AS
ZAKHAROV, VE
[J]. JOURNAL OF NONLINEAR SCIENCE, 1992, 2 (01) : 109 - 134
[5] GARAGASH TI, 1995, TEOR MAT FIZ, V102, P163
[6] FINITE-RANK CONSTRAINTS ON LINEAR FLOWS AND THE DAVEY-STEWARTSON EQUATION
GUIL, F
MANAS, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (06): : 1713 - 1726
[7] Konopelchenko B.G., 1993, Solitons in Multidimensions, DOI DOI 10.1142/1982
[8] THE TWO-DIMENSIONAL 2ND-ORDER DIFFERENTIAL SPECTRAL PROBLEM - COMPATIBILITY CONDITIONS, GENERAL BTS AND INTEGRABLE EQUATIONS
KONOPELCHENKO, BG
[J]. INVERSE PROBLEMS, 1988, 4 (01) : 151 - 163
[9] Konopelchenko BG., 1992, INTRO MULTIDIMENSION
[10] FINITE-GAP SOLUTIONS OF THE DAVEY-STEWARTSON EQUATIONS
MALANYUK, TM
[J]. JOURNAL OF NONLINEAR SCIENCE, 1994, 4 (01) : 1 - 21

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