Binary Darboux–Bäcklund transformations for the Manin–Radul super KdV hierarchy

DOI10.1063/1.532536zbMath0927.37042arXivsolv-int/9710005OpenAlexW3098593740MaRDI QIDQ4701679

Ming-Hsien Tu, Jiin-Chang Shaw

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9710005

zbMATH Keywords

Darboux-Bäcklund transformationssupersymmetric extensionsManin-Radul super Korteweg-de Vries hierarchysuper pseudodifferential operatorssuperdeterminant representations

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (3)

The finite-dimensional super integrable system of a super NLS-mKdV equation ⋮ Darboux transformations for super-symmetric KP hierarchies ⋮ An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation

Cites Work

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