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arXiv · 1211.1165

Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation

Laurent Delisle·Masoud Mosaddeghi
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Abstract

In this paper, we propose the study of the Boiti-Leon-Manna-Pempinelli equation from two point of views: the classical and supersymmetric cases. In the classical case, we construct new solutions of this equation from Wronskian formalism and Hirota method. We, then, introduce a N = 1 supersymmetric extension of the Boiti-Leon-Manna-Pempinelli equation. We thus produce a bilinear form and give multisolitons and superpartner solutions. As an application, we produce a pair of Bäcklund transformations.

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Laurent Delisle, Masoud Mosaddeghi. 2013-02-04. Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation. https://doi.org/10.1088/1751-8113%2F46%2F11%2F115203

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