On a class of special solutions of the Painlevé equations

DOI10.1016/S0378-4371(01)00040-1zbMath0978.34080OpenAlexW2003133492MaRDI QIDQ5936542

Basile Grammaticos, Alfred Ramani, K. M. Tamizhmani, T. Tamizhmani

Publication date: 2 July 2001

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(01)00040-1

zbMATH Keywords

continuous equationsdiscrete equationsquadratures

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (5)

Exact localized solutions of quintic discrete nonlinear Schrödinger equation ⋮ The fourth Painlevé equation and associated special polynomials ⋮ On the autonomous limit of discrete Painlevé equations ⋮ Special solutions of discrete Painlevé equations through direct linearisation ⋮ Bäcklund transformations for discrete Painlevé equations: discrete P\(_{\text{II}}\)-P\(_{\text{V}}\)

Cites Work

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• Integrable mappings and soliton equations. II
• New exact solutions of the discrete fourth Painlevé equation
• On a novel \(q\)-discrete analogue of the Painlevé VI equation
• Coalescence cascades and special-function solutions for the continuous and discrete Painlevé equations
• On a transcendental equation related to Painlevé III, and its discrete forms
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation
• Special function solutions for asymmetric discrete Painlevé equations

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