An integrability test for differential-difference systems

DOI10.1088/0305-4470/25/14/004zbMath0757.34057OpenAlexW1993251595MaRDI QIDQ4022436

K. M. Tamizhmani, Alfred Ramani, Basile Grammaticos

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/14/004

zbMATH Keywords

Toda latticesingularity confinementdifferential-difference systemsintegrability criterionsingularity analysis approach

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General theory of functional-differential equations (34K05)

Related Items (13)

Delay-differential equations and the Painlevé transcendents ⋮ Integrable delay-difference and delay-differential analogs of the KdV, Boussinesq, and KP equations ⋮ Singularity analysis and bilinear approach to some Bogoyavlensky equations ⋮ Automated derivation of the conservation laws for nonlinear differential-difference equations ⋮ Lax pairs, symmetries and conservation laws of a differential-difference equation -- Sato's approach ⋮ Singularity confinement in the discrete time Toda lattice and the Q-D algorithm ⋮ Computation of conserved densities for systems of nonlinear differential-difference equations ⋮ A new method to test discrete Painlevé equations. ⋮ Integrability in a discrete world ⋮ Gauge equivalence and \(l\)-reductions of the differential-difference KP equation ⋮ Computation of conservation laws for nonlinear lattices ⋮ Deautonomisation of differential-difference equations and discrete Painlevé equations ⋮ Singularity structure and algebraic properties of the differential-difference Kadomtsev-Petviashvili equation.

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