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Crum transformation and Wronskian type solutions for supersymmetric KdV equation

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Liu, Q. P. and Mañas Baena, Manuel (1997) Crum transformation and Wronskian type solutions for supersymmetric KdV equation. Physics letters B, 396 (1-abr.). pp. 133-140. ISSN 0370-2693

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Official URL: http://dx.doi.org/10.1016/S0370-2693(97)00134-2


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Abstract

Darboux transformation is reconsidered for the supersymmetric KdV system. By iterating the Darboux transformation, a supersymmetric extension of the Crum transformation is obtained for the Manin-Radul SKdV equation, in doing so one gets Wronskian superdeterminant representations for the solutions. Particular examples provide us explicit supersymmetric extensions, super solitons, of the standard soliton of the KdV equation. The KdV soliton appears as the body of the super soliton.


Item Type:Article
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©1997 Elsevier Science B.V.
We should like to thank Allan Fordy and Kimio Ueno for making the reference [ 15] available to us.

Uncontrolled Keywords:Physics; Multidisciplinary
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:32505
Deposited On:23 Jul 2015 11:00
Last Modified:10 Dec 2018 15:10

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