Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
Laurent Delisle, Masoud Mosaddeghi
TL;DR
This paper explores classical and supersymmetric solutions of the Boiti-Leon-Manna-Pempinelli equation, introducing new solutions, a supersymmetric extension, and transformations to deepen understanding of its integrable structure.
Contribution
It constructs new classical solutions using Wronskian and Hirota methods and develops a supersymmetric extension with multisoliton and Bäcklund transformation solutions.
Findings
New solutions via Wronskian and Hirota methods
Supersymmetric extension with superpartner solutions
Bäcklund transformations for the supersymmetric 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 B\"acklund transformations.
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