Duality for discrete integrable systems

DOI10.1088/0305-4470/38/18/007zbMath1108.37042OpenAlexW1972177019MaRDI QIDQ4678034

John A. G. Roberts, H. W. Capel, Gilles Reinout Willem Quispel

Publication date: 23 May 2005

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

Full work available at URL: https://semanticscholar.org/paper/e8f50af0f001ee28973658b11d1e88869293284e

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 difference equations (39A05)

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Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps ⋮ Bi-rational maps in four dimensions with two invariants ⋮ Symbolic computation of Lax pairs of partial difference equations using consistency around the cube ⋮ Direct method to construct integrals for N th-order autonomous ordinary difference equations ⋮ Some integrable maps and their Hirota bilinear forms ⋮ Duality for discrete integrable systems II ⋮ Polynomial integrals for third- and fourth-order ordinary difference equations ⋮ New Integrable and Linearizable Nonlinear Difference Equations ⋮ A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants

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