Initial value problem of evolution equations defined by lattice operators

Published 12 Feb 2013 in nlin.SI and nlin.CG | (1302.2734v1)

Abstract: We propose dynamical systems defined on algebra of lattices, which we call `lattice equations'. We give exact general solutions of initial value problems for a class of lattice equations, and evaluate the complexity of the solutions. Moreover we discuss the relationship between those equations and binary cellular automata.

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