Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps

DOI10.1088/1361-6544/abddcazbMath1475.37083arXiv2005.12765OpenAlexW3029122521MaRDI QIDQ4990886

Xiaoxue Xu, Ce Wen Cao, Frank W. Nijhoff

Publication date: 1 June 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12765

zbMATH Keywords

integrable lattice equationsBaker-Akhiezer functionsalgebro-geometric solutionsintegrable symplectic mapsAdler-Bobenko-Suris list of consistent lattices

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Symplectic and canonical mappings (37J11) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (2)

Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds ⋮ Algebro-geometric solutions to the lattice potential modified Kadomtsev–Petviashvili equation

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