Discrete Burgers' equation, binomial coefficients and Mandala

DOI10.1007/s11786-010-0049-yzbMath1217.39010OpenAlexW2020307731MaRDI QIDQ541961

Katsunori Saito, Hiroshi Umemura, Taihei Takeuchi, Shuji Morikawa

Publication date: 8 June 2011

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-010-0049-y

zbMATH Keywords

cellular automatadynamical systemBurgers' equationGalois theorydiscrete Burgers' equation

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) KdV equations (Korteweg-de Vries equations) (35Q53) Automata and formal grammars in connection with logical questions (03D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Numerical methods for difference equations (65Q10)

Related Items (2)

Mathematical works of Hiroshi Umemura ⋮ Generalized linear cellular automata in groups and difference Galois theory

Cites Work

• Unnamed Item
• On the equivalence of general differential Galois theories
• On a general difference Galois theory. II
• Arithmetical Method to Detect Integrability in Maps
• Invitation to Galois theory
• A combinatorial model for reversible rational maps over finite fields
• Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
• Differential Galois theory of infinite dimension
• Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton

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