Direct linearisation of the discrete-time two-dimensional Toda lattices

DOI10.1088/1751-8121/aace36zbMath1398.37060arXiv1802.06452OpenAlexW2788026823WikidataQ59883205 ScholiaQ59883205MaRDI QIDQ4689483

Wei Fu

Publication date: 16 October 2018

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

Full work available at URL: https://arxiv.org/abs/1802.06452

zbMATH Keywords

exact solutionLax pairtau functiontwo-dimensional Toda latticeperiodic reductiondirect linearisation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}$ ⋮ Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies ⋮ Integrable Boundary Conditions for the Hirota-Miwa Equation and Lie Algebras ⋮ On the fourth-order lattice Gel'fand-Dikii equations ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations

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