CONSTRUCTION OF SOLITON CELLULAR AUTOMATON FROM THE VERTEX MODEL : THE DISCRETE 2D TODA EQUATION AND THE BOGOYAVLENSKY LATTICE
作者： Rei Inoue , Kazuhiro Hikami
DOI: 10.1088/0305-4470/32/39/310
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摘要: We study the soliton cellular automaton (SCA) in (2 + 1)-dimensions from viewpoint of integrable vertex model. As our previous paper, we relate SCA, so-called box-ball system, to an model associated with Bogoyavlensky lattice. extend this framework and introduce 1)-dimensional which can be interpreted as ultradiscretization 2D Toda equation. also construct N-soliton solutions for system.
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