The generalisation of integrable (2+1)-dimensional dispersive long-wave equations

被引：8

作者：

Alagesan, T

Uthayakumar, A

Porsezian, K

机构：

[1] Department of Physics, Anna University

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1997年 / 66卷 / 05期

关键词：

Painleve property; soliton; dromion; solitoff; resonance; bilinear transformation; singular manifold; Laurent series; Backlund transformation;

D O I：

10.1143/JPSJ.66.1288

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the generalisation of integrable (2+1)-dimensional dispersive long-wave equation (GDLWE) introduced by Boiti et al. is considered and is shown to possess the Painleve (P-) property. The bilinear transformation is obtained straightforwardly from the Painleve analysis.

引用

页码：1288 / 1290

页数：3

共 15 条

[1] NON-LINEAR EVOLUTION EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF PAINLEVE TYPE [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

LETTERE AL NUOVO CIMENTO, 1978, 23 (09) :333-338

[2] 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

[3] 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

[4] 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

[5] 'Solitoff' solutions of nonlinear evolution equations [J].

Chow, KW .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (07) :1971-1976

[6] 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

[7] Painleve analysis and exact solutions of two dimensional Korteweg-de Vries-Burgers equation [J].

Joy, MP .

PRAMANA-JOURNAL OF PHYSICS, 1996, 46 (01) :1-8

[8]

KAUP DJ, 1975, PROG THEOR PHYS, V54, P386

[9] PAINLEVE TEST FOR THE INTEGRABLE DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS [J].

LOU, S .

PHYSICS LETTERS A, 1993, 176 (1-2) :96-100

[10] SINGULARITY STRUCTURE-ANALYSIS AND HIROTAS BILINEARISATION OF THE 2-COMPONENT BKP HIERARCHY [J].

PORSEZIAN, K ;

UTHAYAKUMAR, A .

PHYSICS LETTERS A, 1993, 183 (5-6) :371-375

← 1 2 →