Bilinearization of N=1 Supersymmetric Modified KdV Equations

Abstract

Two different types of N=1 modified KdV equations are shown to possess $N$ soliton solutions. The soliton solutions of these equations are obtained by casting the equations in the bilinear forms using the supersymmetric extension of the Hirota method. The distinguishing features of the soliton solutions of N=1 mKdV and N=1 mKdV B equations are discussed.

13 pages, no figures

References in corpus (2)

• Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra
• Solitons Solutions for the N=2 Supersymmetric KdV Equation

Cited by in corpus (6)

• Supersymmetric Modified Korteweg-de Vries Equation: Bilinear Approach
• Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
• Constructing a Supersymmetric Integrable System from the Hirota Method in Superspace
• Interaction solutions for supersymmetric mKdV-B equation
• New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods
• Soliton and similarity solutions of N=2,4 supersymmetric equations