Growth and integrability in discrete systems

DOI10.1088/0305-4470/34/18/309zbMath1006.39018OpenAlexW2022519907MaRDI QIDQ4552331

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

Publication date: 1 September 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/18/309

zbMATH Keywords

difference equationsNevanlinna theorydiscrete Painlevé equationsingularity confinementdiscrete integrable systemsgrowth criteriondiscrete integrability criteria

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)

Related Items (13)

Existence of zero-order meromorphic solutions of certain \(q\)-difference equations ⋮ Meromorphic solutions of difference Painlevé IV equations ⋮ Value distribution of meromorphic solutions of certain non-linear difference equations ⋮ Integrable mappings of the plane preserving biquadratic invariant curves. III ⋮ Studies of Differences from the point of view of Nevanlinna Theory ⋮ Some results on difference Painlevé IV equations ⋮ The growth of meromorphic solutions of a class of delay-differential equations ⋮ Some properties on complex functional difference equations ⋮ Do all integrable equations satisfy integrability criteria? ⋮ Finite order solutions of difference equations, and difference Painlevé equations IV ⋮ Higher dimensional integrable mappings derived from coupled discrete nonlinear Schrödinger equations ⋮ Discretising the Painlevé equations à la Hirota-Mickens ⋮ Remarks on complex difference equations

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