Deautonomisation of differential-difference equations and discrete Painlevé equations

DOI10.1016/S0960-0779(98)00191-XzbMath0952.37039OpenAlexW2070109956MaRDI QIDQ1573912

K. M. Tamizhmani, Alfred Ramani, Basile Grammaticos

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00191-x

zbMATH Keywords

KdV equationdiscrete Painlevé equationsdifferential-difference equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Cites Work

• Master symmetries for differential-difference equations of the Volterra type
• Integrable mappings and soliton equations. II
• Evolution equations with nontrivial conservative laws
• On special function solutions to nonlinear integrable equations
• A symmetry approach to exactly solvable evolution equations
• Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
• An integrability test for differential-difference systems
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?
• Painleve analysis and singularity confinement: the ultimate conjecture
• Construction scheme for discrete Miura transformations

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