A N=2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation

2015/09/10 by Laurent Delisle, Delisle, Laurent
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1509.03137

11 pages, 6 figures

arxiv created 2015/09/10 · openalex publication_date 2015/09/10 · arxiv updated 2015/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a bilinear Hirota representation of the N=2 supersymmetric extension of the Korteweg-de Vries equation. This representation is deduced using binary Bell polynomials, hierarchies and fermionic limits. We, also, propose a new approach for the generalisation of the Hirota bilinear formalism in the N=2 supersymmetric context.

Related

• Extension of the bilinear formalism to supersymmetric KdV-type equations
• Bilinearization of Supersymmetric KP Hierarchies Associated with Non-Trivial Flows
• Links between symmetry reduction and Hirota methods of the N=2 susy KdV\n equation
• Hirota bilinear formalism and Supersymmetry
• Open problems for the superKdV equations