CRUM TRANSFORMATION AND WRONSKIAN TYPE SOLUTIONS FOR SUPERSYMMETRIC KDV EQUATION

Authors
LIU QP MANAS M
Citation
Qp. Liu et M. Manas, CRUM TRANSFORMATION AND WRONSKIAN TYPE SOLUTIONS FOR SUPERSYMMETRIC KDV EQUATION, Physics letters. Section B, 396(1-4), 1997, pp. 133-140
Citations number
18
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
396
Issue
1-4
Year of publication
1997
Pages
133 - 140
Database
ISI
SICI code
0370-2693(1997)396:1-4<133:CTAWTS>2.0.ZU;2-Y
Abstract
Darboux transformation is reconsidered for the supersymmetric KdV syst em. By iterating the Darboux transformation, a supersymmetric extensio n of the Crum transformation is obtained for the Manin-Radul SKdV equa tion, in doing so one gets Wronskian superdeterminant representations for the solutions. Particular examples provide us explicit supersymmet ric extensions, super solitons, of the standard soliton of the KdV equ ation. The KdV soliton appears as the body of the super soliton. (C) 1 997 Elsevier Science B.V.