Supersymmetric Modified Korteweg-de Vries Equation: Bilinear Approach

Abstract

A proper bilinear form is proposed for the N=1 supersymmetric modified Korteweg-de Vries equation. The bilinear Bäcklund transformation of this system is constructed. As applications, some solutions are presented for it.

arXiv comment8 pages, LaTeX using packages amsmath and amssymb, some corrections made

References in corpus (5)

• Darboux Transformations for Supersymmetric Korteweg - de Vries Equations
• Nonlinear superposition formula for N=1 supersymmetric KdV Equation
• Bilinearization of N=1 Supersymmetric Modified KdV Equations
• The sAKNS Hierarchy
• Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace

Cited by in corpus (6)

• Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
• Bilinear Approach to N=2 Supersymmetric KdV equations
• Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
• Permutability of Backlund Transformation for N=1 Supersymmetric Sinh-Gordon
• Bilinear approach to the supersymmetric Gardner equation
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations