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.

8 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