On solutions to evolution equations defined by lattice operators

Takatoshi Ikegami, Daisuke Takahashi, Junta Matsukidaira

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    Abstract

    We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.

    Original languageEnglish
    Pages (from-to)211-230
    Number of pages20
    JournalJapan Journal of Industrial and Applied Mathematics
    Volume31
    Issue number1
    DOIs
    Publication statusPublished - 2014

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    Keywords

    • Cellular automaton
    • Integrable system
    • Lattice operator
    • Max-plus algebra
    • Ultradiscretization

    ASJC Scopus subject areas

    • Applied Mathematics
    • Engineering(all)

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