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

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.

arXiv comment11 pages, 6 figures

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Cited by in corpus (2)

• Deformed two-dimensional rogue waves in the (2+1)-dimensional Korteweg-de Vries equation
• A novel Hirota bilinear approach to $N=2$ supersymmetric equations