Max-plus equation with two conserved quantities and one monotonically decreasing quantity
Author:
Affiliation:
1. Department of Pure and Applied Mathematics, Waseda University
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/10/0/10_45/_pdf
Reference9 articles.
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2. 2) K. Nishinari and D. Takahashi, Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton, J. Phys. A: Math. Gen., 31 (1998), 5439.
3. 3) K. Kajiwara, A. Nobe and T. Tsuda T. Tsuda, Ultradiscretization of solvable one-dimensional chaotic maps, J. Phys. A: Math. Theor., 41 (2008), 395202.
4. 4) R. Willox, B. Grammaticos, A. S. Carstea and A. Ramani, Epidemic dynamics: discrete-time and cellular automaton models, Phys. A, 328 (2003), 13-22.
5. 5) T. Ikegami, D. Takahashi and J. Matsukidaira, On solutions to evolution equations defined by lattice operators, Jpn J. Indust. Appl. Math., 31 (2014), 211-230.
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