On an algorithmic construction of lump solutions in a 2+1 integrable equation

被引：42

作者：

Estevez, P. G. ^{[1
]}

Prada, J. ^{[1
]}

Villarroel, J. ^{[1
]}

机构：

[1] Univ Salamanca, Fac Ciencias, E-37008 Salamanca, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 26期

关键词：

D O I：

10.1088/1751-8113/40/26/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The singular manifold method is used to generate lump solutions of a generalized integrable nonlinear Schrodinger equation in 2 + 1 dimensions. We present several essentially different types of lump solutions. The connection between this method and the Ablowitz-Villarroel scheme is also analysed.

引用

页码：7213 / 7231

页数：19

共 27 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] A novel class of solutions of the non-stationary Schrodinger and the Kadomtsev-Petviashvili I equations [J].

Ablowitz, MJ ;

Chakravarty, S ;

Trubatch, AD ;

Villarroel, J .

PHYSICS LETTERS A, 2000, 267 (2-3) :132-146

[3]

ABLOWITZ MJ, 1983, LECT NOTES PHYS, V189, P3

[4] INVERSE SCATTERING TRANSFORM METHOD AND SOLITON-SOLUTIONS FOR DAVEY-STEWARTSON-II EQUATION [J].

ARKADIEV, VA ;

POGREBKOV, AK ;

POLIVANOV, MC .

PHYSICA D, 1989, 36 (1-2) :189-197

[5] 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

[6] Miura transformation between two non-linear equations in 2+1 dimensions [J].

Cervero, JM ;

Estevez, PG .

JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (05) :2800-2807

[7] SOME REDUCTIONS OF THE SELF-DUAL YANG-MILLS EQUATIONS TO INTEGRABLE SYSTEMS IN 2+1-DIMENSIONS [J].

CHAKRAVARTY, S ;

KENT, SL ;

NEWMAN, ET .

JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (02) :763-772

[8] Darboux transformation and solutions for an equation in 2+1 dimensions [J].

Estévez, PG .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (03) :1406-1419

[9] Singular manifold method for an equation in 2+1 dimensions [J].

Estévez, PG ;

Prada, J .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 (Suppl 1) :266-279

[10] A generalization of the Sine-Gordon equation to 2+1 dimensions [J].

Estévez, PG ;

Prada, J .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2004, 11 (02) :164-179

← 1 2 3 →