Bäcklund-Darboux transformations and discretizations of super KdV equation

DOI10.3842/SIGMA.2014.045zbMath1291.35319arXiv1312.6976MaRDI QIDQ2447904

Ling-Ling Xue, Qing-Ping Liu

Publication date: 29 April 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6976

zbMATH Keywords

KdVdiscrete integrable systemssuper integrable systemsBäcklund-Darboux transformations

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (11)

Symbolic Representation and Classification of Supersymmetric Evolutionary Equations ⋮ Four super integrable equations: nonlocal symmetries and applications ⋮ A noncommutative discrete potential KdV lift ⋮ A super Sawada-Kotera hierarchy ⋮ Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications ⋮ Bäcklund-Darboux transformations and discretizations of \(N=2a=-2\) supersymmetric KdV equation ⋮ On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system ⋮ A Darboux transformation of the \(\mathrm{sl}(2| 1)\) super KdV hierarchy and a super lattice potential KdV equation ⋮ Some super systems with local bi-Hamiltonian operators ⋮ Integrable extensions of the Adler map via Grassmann algebras ⋮ A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system

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