Fermionic extensions of Painlevé equations

DOI10.1016/S0375-9601(01)00752-6zbMath0988.81042OpenAlexW2083829957MaRDI QIDQ5951454

A. S. Carstea, Basile Grammaticos, Alfred Ramani

Publication date: 6 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00752-6

zbMATH Keywords

auto-Bäcklund transformationssingularity analysissupersymmetric KdV equation

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) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Supersymmetry and quantum mechanics (81Q60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Painlevé-type functions (33E17)

Related Items (4)

Bilinear approach to Kuperschmidt super-KdV type equations ⋮ A supersymmetric second Painlevé hierarchy and bilinearization ⋮ Quantum Painlevé equations: from continuous to discrete and back ⋮ Integrable fermionic extensions of the Garnier system and the anharmonic oscillator

Cites Work

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• Delay-differential equations and the Painlevé transcendents
• The Painlevé property. One century later
• Supersymmetric extension of the Korteweg–de Vries equation
• Discrete versions of the Painlevé equations
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Cellular automata and ultra-discrete Painlevé equations

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