SOLUTIONS AND LAX PAIRS BASED ON BILINEAR BACKLUND TRANSFORMATIONS OF SOME SUPERSYMMETRIC EQUATIONS

被引：2

作者：

Huang, Lin ^{[1
]}

Zhang, Da-Jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2012年 / 19卷 / 01期

关键词：

Supersymmetric equations; bilinear Backlund transformations; multiple-pole solutions; Lax pairs; DE-VRIES EQUATION; BI-HAMILTONIAN STRUCTURE; DARBOUX TRANSFORMATIONS; SOLITON-SOLUTIONS; EXTENSION; ALGEBRA; FORM;

D O I：

10.1142/S1402925112500052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper investigates solutions and Lax pairs through bilinear Backlund transformations for some supersymmetric equations. We derive variety of solutions from the known bilinear Backlund transformations. Besides, using the gauge invariance of (super) Hirota bilinear derivatives we may get deformed bilinear Backlund transformations and consequently deformed Lax pairs with fermionic parameters. Examples are the N = 1 supersymmetric KdV equation and the N = 2 supersymmetric KdV(1) equation.

引用

页码：48 / 61

页数：14

共 33 条

[1]

Bi JB, 2004, COMMUN THEOR PHYS, V41, P805

[2] The Painleve analysis for N=2 super Korteweg-de Vries equations [J].

Bourque, S ;

Mathieu, P .

JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (08) :3517-3539

[3] Extension of the bilinear formalism to supersymmetric KdV-type equations [J].

Carstea, AS .

NONLINEARITY, 2000, 13 (05) :1645-1656

[4] Constructing the soliton solutions for the N=1 supersymmetric KdV hierarchy [J].

Carstea, AS ;

Ramani, A ;

Grammaticos, B .

NONLINEARITY, 2001, 14 (05) :1419-1423

[5] METHOD OF INVERSE SCATTERING PROBLEM AND BACKLUND TRANSFORMATIONS FOR SUPERSYMMETRIC EQUATIONS [J].

CHAICHIAN, M ;

KULISH, PP .

PHYSICS LETTERS B, 1978, 78 (04) :413-416

[6]

Chen ZY, 2004, COMMUN THEOR PHYS, V41, P397

[7] New Bilinear Backlund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation [J].

Fan, E. .

STUDIES IN APPLIED MATHEMATICS, 2011, 127 (03) :284-301

[8] Quasiperiodic Wave Solutions of N=2 Supersymmetric KdV Equation in Superspace [J].

Fan, E. G. ;

Hon, Y. C. .

STUDIES IN APPLIED MATHEMATICS, 2010, 125 (04) :343-371

[9]

Fan E. G., 2010, ARXIV10084198V1NLINS

[10]

GOLFAND YA, 1971, JETP LETT-USSR, V13, P323

← 1 2 3 4 →