Symmetry of integrable cellular automaton (Q2716913)
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scientific article; zbMATH DE number 1599608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry of integrable cellular automaton |
scientific article; zbMATH DE number 1599608 |
Statements
Symmetry of integrable cellular automaton (English)
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16 September 2002
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Bogoyavlensky lattice
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discretization
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cellular automata
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soliton solutions
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The paper shows how various discretization methods applied to the equation NEWLINE\[NEWLINE{dv_n\over dt}=v_n \sum^M_{j=0}(v_{n+j} -v_{n-j})NEWLINE\]NEWLINE lead to cellular automata structures and to soliton solutions (which are explicitly written down).
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