Bilinear approach to Kuperschmidt super-KdV type equations

DOI10.1088/1751-8121/aabda5zbMath1397.35247arXiv1712.06854OpenAlexW2780166969WikidataQ130038020 ScholiaQ130038020MaRDI QIDQ4581269

A. S. Carstea, Corina N. Babalic

Publication date: 16 August 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06854

zbMATH Keywords

solitonsHirota formalismGrassmann function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (5)

Super modified KP hierarchy in Kac–van de Leur construction ⋮ Four super integrable equations: nonlocal symmetries and applications ⋮ On the higher-order inhomogeneous Heisenberg supermagnetic models ⋮ Bilinear approach to supersymmetric AKNS system; multiple dressing of fermionic amplitudes ⋮ A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system

Cites Work

• Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras
• Super boson-fermion correspondence
• Integrable systems related to Su-Schrieffer-Heeger lattices
• A new super-extension of the KdV hierarchy
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Particle spin dynamics as the Grassmann variant of classical mechanics
• New nonlocal charges in SUSY-\(B\) integrable models
• Group-theoretical structure and the inverse scattering method for the super-KdV equation
• Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy
• On the super-KP hierarchy
• HIROTA BILINEAR FORM FOR THE SUPER-KdV HIERARCHY
• Constructing the soliton solutions for theN= 1 supersymmetric KdV hierarchy
• Supersymmetric KdV equation: Darboux transformation and discrete systems
• Anticommutative extension of the Adler map
• Prolongation structures for supersymmetric equations
• Supersymmetric extension of the Korteweg–de Vries equation
• INTEGRABILITY AND BIHAMILTONIAN STRUCTURE OF THE EVEN ORDER SKDV HIERARCHIES
• Extension of the bilinear formalism to supersymmetric KdV-type equations
• Constructing soliton solutions and super-bilinear form of lattice supersymmetric KdV equation
• Fermionic extensions of Painlevé equations

This page was built for publication: Bilinear approach to Kuperschmidt super-KdV type equations