Darboux transformations for super-symmetric KP hierarchies

DOI10.1016/S0370-2693(00)00663-8zbMath0973.37047arXivsolv-int/9909016MaRDI QIDQ5930380

Qing-Ping Liu, Manuel Mañas

Publication date: 18 April 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9909016

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Solutions and Lax Pairs based on Bilinear Bäcklund Transformations of Some Supersymmetric Equations ⋮ Super modified KP hierarchy in Kac–van de Leur construction ⋮ Miura and Darboux transformations in the SUSY KP hierarchies ⋮ Super Hirota bilinear equations for the super modified BKP hierarchy ⋮ The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems ⋮ Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations ⋮ Novel localized wave solutions of the (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation ⋮ Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ Darboux transformations of new supersymmetric CKP and BKP hierarchies ⋮ On geometric aspects of the supersymmetric Fokas–Gel’fand immersion formula ⋮ BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM ⋮ Constraint and nonlinearization of supersymmetric equations with some special forms of Lax pairs ⋮ Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system ⋮ Darboux transformations of the supersymmetric constrained B and C type KP hierarchies ⋮ Darboux transformations of the Supersymmetric BKP hierarchy

Cites Work

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• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
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• Binary Darboux–Bäcklund transformations for the Manin–Radul super KdV hierarchy
• Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions