Darboux transformation for the Manin-Radul supersymmetric KdV equation

In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de Vries equation. Sohton type solutions are con...

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Bibliographic Details
Authors: Liu, Q. P., Mañas Baena, Manuel Enrique
Format: article
Publication Date:1997
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/59699
Online Access:https://hdl.handle.net/20.500.14352/59699
Access Level:Open access
Keyword:51-73
Physics
Multidisciplinary
Física-Modelos matemáticos
Física matemática
Description
Summary:In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de Vries equation. Sohton type solutions are constructed by dressing the vacuum and we present some relevant plots.