The construction of exact multiple pole solutions of some (2+1)-dimensional integrable nonlinear evolution equations via the (partial derivative)over-bar-dressing method

被引：18

作者：

Dubrovsky, VG ^{[1
]}

机构：

[1] Univ Lecce, Dipartimento Fis, Consortium EINSTEIN, I-73100 Lecce, Italy

[2] Novosibirsk State Tech Univ, Novosibirsk 630092, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 02期

关键词：

D O I：

10.1088/0305-4470/32/2/011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact multiple pole solutions of several (2+1)-dimensional integrable nonlinear evolution equations, such as the Kadomtsev-Petviashvili equation, the modified Kadomtsev-Petviashvili equation and the Davey-Stewartson system of equations and others by the use of the partial derivative-dressing method are constructed.

引用

页码：369 / 390

页数：22

共 24 条

[1] Solutions to the time dependent Schrodinger and the Kadomtsev-Petviashvili equations [J].

Ablowitz, MJ ;

Villarroel, J .

PHYSICAL REVIEW LETTERS, 1997, 78 (04) :570-573

[2] THE NON-LOCAL PARTIAL-DIFFERENTIAL-EQUATION PROBLEM AND (2+1)-DIMENSIONAL SOLITON-EQUATIONS [J].

BOGDANOV, LV ;

MANAKOV, SV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (10) :L537-L544

[3] INTEGRABLE TWO-DIMENSIONAL GENERALIZATION OF THE SINE-GORDON EQUATION AND SINH-GORDON EQUATION [J].

BOITI, M ;

LEON, JJP ;

PEMPINELLI, F .

INVERSE PROBLEMS, 1987, 3 (01) :37-49

[4] SPECTRAL TRANSFORM FOR A 2-SPATIAL DIMENSION EXTENSION OF THE DISPERSIVE LONG-WAVE EQUATION [J].

BOITI, M ;

LEON, JJP ;

PEMPINELLI, F .

INVERSE PROBLEMS, 1987, 3 (03) :371-387

[5] 3-DIMENSIONAL PACKETS OF SURFACE-WAVES [J].

DAVEY, A ;

STEWARTSON, K .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, 338 (1613) :101-110

[6] The partial derivative-dressing method and the solutions with constant asymptotic values at infinity of DS-II equation [J].

Dubrovsky, VG .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (12) :6382-6400

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

Dubrovsky, VG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (13) :3617-3630

[8] THE DRESSING METHOD AND NONLOCAL RIEMANN-HILBERT PROBLEMS [J].

FOKAS, AS ;

ZAKHAROV, VE .

JOURNAL OF NONLINEAR SCIENCE, 1992, 2 (01) :109-134

[9]

IONNIDOU T, 1996, J MATH PHYS, V37, P3422

[10] SOLUTION OF INVERSE SCATTERING PROBLEM FOR KADOMTSEV-PETVIASHVILI EQUATION BY METHOD OF SEPARATION OF VARIABLES [J].

JOHNSON, RS ;

THOMPSON, S .

PHYSICS LETTERS A, 1978, 66 (04) :279-281

← 1 2 3 →