Discrete dressing transformations and Painlevé equations

DOI10.1016/S0375-9601(97)00640-3zbMath0969.39501MaRDI QIDQ5917993

Basile Grammaticos, V. G. Papageorgiou, Alfred Ramani

Publication date: 7 March 2000

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

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) Discrete version of topics in analysis (39A12)

Related Items (2)

Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case ⋮ Restoring discrete Painlevé equations from an E8(1)-associated one

Cites Work

• Difference Schrödinger operators with linear and exponential discrete spectra
• From continuous to discrete Painlevé equations
• Delay-differential equations and the Painlevé transcendents
• Nonlinear chains and Painlevé equations
• Quantum Hamiltonians from level statistics via dressing transformations
• The hunting for the discrete Painlevé equations
• Orthogonal polynomial approach to discrete Lax pairs for initial boundary-value problems of the QD algorithm
• Discrete Painlevé equations: coalescences, limits and degeneracies
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?
• A study of the alternate discrete Painlevé II equation

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