On solutions to evolution equations defined by lattice operators

DOI10.1007/s13160-013-0134-0zbMath1291.39023OpenAlexW2099913670WikidataQ59396476 ScholiaQ59396476MaRDI QIDQ2452295

Junta Matsukidaira, Takatoshi Ikegami, Daisuke A. Takahashi

Publication date: 2 June 2014

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-013-0134-0

zbMATH Keywords

asymptotic behaviorintegrable systemmax-plus algebracellular automatonultradiscretizationlattice operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15) Partial difference equations (39A14) Distributive lattices (06D99)

Related Items (3)

Lattice equations and their solutions with complexity of polynomial class ⋮ A characterization of modular law and distributive law of lattices by the Yang-Baxter maps ⋮ Max-plus equation with two conserved quantities and one monotonically decreasing quantity

Cites Work

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• Algebraic entropy
• Sandpile models and lattices: a comprehensive survey
• Solvable chaos
• Max-plus analysis on some binary particle systems
• Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton

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