Folding Transformations and HKY Mappings

DOI10.1142/S1402925111001179zbMath1218.39009OpenAlexW2016756901MaRDI QIDQ2996769

Ralph Willox, Basile Grammaticos, Alfred Ramani

Publication date: 3 May 2011

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

Full work available at URL: https://doi.org/10.1142/s1402925111001179

zbMATH Keywords

elliptic functionsinvariantdiscrete Painlevé equationsQRT mappingrational difference equationintegrable mappingfolding transformationHKY mappingmappings of Hirota-Kimura-Yahagi (HKY) typeQuispel-Roberts-Thompson (QRT) mappings

Mathematics Subject Classification ID

Related Items (1)

Symmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearity

Cites Work

• Unnamed Item
• From integrable lattices to non-QRT mappings
• Folding transformations of the Painlevé equations
• Integrable mappings and soliton equations. II
• On the integrability of correspondences associated to integral curves
• A class of integrable and nonintegrable mappings and their dynamics
• Integrable non-QRT mappings of the plane
• How to find the conserved quantities of nonlinear discrete equations
• A new class of integrable discrete systems
• Quadratic relations in continuous and discrete Painlevé equations

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