Two-Dimensional Burgers Cellular Automaton

DOI10.1143/JPSJ.70.2267zbMath1113.37302arXivnlin/0102027MaRDI QIDQ4672526

Katsuhiro Nishinari, Junta Matsukidaira, Daisuke A. Takahashi

Publication date: 3 May 2005

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0102027

zbMATH Keywords

Burgers equationshock waveintegrablecellular automatonparticle modelPDFultradiscrete method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Dynamical aspects of cellular automata (37B15)

Related Items (4)

Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations ⋮ EULER–LAGRANGE CORRESPONDENCE OF GENERALIZED BURGERS CELLULAR AUTOMATON ⋮ Artificial boundary method for two-dimensional Burgers' equation ⋮ Exact travelling wave solutions for a diffusion-convection equation in two and three spatial dimensions

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