The Hirota equation over finite fields: algebro-geometric approach and multisoliton solutions

DOI10.1088/0305-4470/36/17/309zbMath1033.37036arXivnlin/0211043OpenAlexW2080075641WikidataQ104434208 ScholiaQ104434208MaRDI QIDQ4707603

Adam Doliwa, Mariusz Białecki, Pawel Klimczewski

Publication date: 12 October 2003

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

Full work available at URL: https://arxiv.org/abs/nlin/0211043

zbMATH Keywords

multisoliton solutionsgeneralized Toda systemHirota equationalgebro-geometric method

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Dynamical aspects of cellular automata (37B15)

Related Items (7)

Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve ⋮ On exact solutions with periodic structure of the ultradiscrete Toda equation with parity variables ⋮ The B-quadrilateral lattice, its transformations and the algebro-geometric construction ⋮ The algebraic dynamics of the pentagram map ⋮ The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction ⋮ The space of initial conditions and the property of an almost good reduction in discrete Painlevé II equations over finite fields ⋮ Decoding algorithm as a moment problem related to the extended Lotka–Volterra system

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