Journal of the Physical Society of Japan · 1990 · 323 citations · 4 references
Natural SciencesMathematicsComplex SystemsDynamical SystemsQuantum MechanicsAutomata TheoryCellular AutomataChaos TheoryFinite AutomataNonlinear DynamicsWave InteractionCellular Automaton ModelingSolitary Wave InteractionsSolitary WavesSoliton TheorySolitonsTime Evolution Of States
A cellular automaton (CA) of filter automata type is proposed. Any state of the CA consists only of solitary wave solutions. It is shown that the solitary waves interact with one another preserving their identities during a time evolution. It is also shown that the CA has infinitely many conserved quantities. Hence, this CA may be considered to be one of the simplest soliton systems.
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Theory and Applications of Cellular Automata
Stephen Wolfram · 1986 · 1.7K citations
Soliton-like behavior in automata
James K. Park, Kenneth Steiglitz, William P. Thurston · Physica D Nonlinear Phenomena · 1986 · 141 citations