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Atsushi Nobe
Atsushi Nobe
Faculty of Political Science and Economics, Waseda University
Verified email at waseda.jp
Title
Cited by
Cited by
Year
Numerical analysis of breaking waves using the moving particle semi‐implicit method
S Koshizuka, A Nobe, Y Oka
International journal for numerical methods in fluids 26 (7), 751-769, 1998
12161998
On reversibility of cellular automata with periodic boundary conditions
A Nobe, F Yura
Journal of Physics A: Mathematical and General 37 (22), 5789, 2004
442004
Ultradiscrete QRT maps and tropical elliptic curves
A Nobe
Journal of Physics A: Mathematical and Theoretical 41 (12), 125205, 2008
312008
An ultradiscretization of the sine-Gordon equation
S Isojima, M Murata, A Nobe, J Satsuma
Physics Letters A 331 (6), 378-386, 2004
232004
From cellular automaton to difference equation: a general transformation method which preserves time evolution patterns
A Nobe, J Satsuma, T Tokihiro
Journal of Physics A: Mathematical and General 34 (25), L371, 2001
202001
Ultradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve
K Kajiwara, M Kaneko, A Nobe, T Tsuda
Kyushu Journal of Mathematics 63 (2), 315-338, 2009
182009
Ultradiscretization of solvable one-dimensional chaotic maps
K Kajiwara, A Nobe, T Tsuda
Journal of Physics A: Mathematical and Theoretical 41 (39), 395202, 2008
172008
Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems
M Murata, S Isojima, A Nobe, J Satsuma
Journal of Physics A: Mathematical and General 39 (1), L27, 2005
172005
Mutations of the cluster algebra of type and the periodic discrete Toda lattice
A Nobe
Journal of Physics A: Mathematical and Theoretical 49 (28), 285201, 2016
112016
A geometric realization of the periodic discrete Toda lattice and its tropicalization
A Nobe
Journal of Physics A: Mathematical and Theoretical 46 (46), 465203, 2013
82013
Soliton–antisoliton collision in the ultradiscrete modified KdV equation
S Isojima, M Murata, A Nobe, J Satsuma
Physics Letters A 357 (1), 31-35, 2006
82006
Ultradiscretization of elliptic functions and its applications to integrable systems
A Nobe
Journal of Physics A: Mathematical and General 39 (20), L335, 2006
82006
On periodic mappings arising from the QRT system
A Nobe
Theoretical and Applied Mechanics Japan 52, 229-237, 2003
82003
Stable difference equations associated with elementary cellular automata
A Nobe, J Satsuma, T Tokihiro
Japan journal of industrial and applied mathematics 18, 293-305, 2001
82001
Constructing two-dimensional integrable mappings that possess invariants of high degree (Expansion of Integrable Systems)
H Tanaka, J Matsukidaira, A Nobe, T Tsuda
数理解析研究所講究録別冊 13, 75-84, 2009
72009
Group actions on the tropical Hesse pencil
A Nobe
Japan Journal of Industrial and Applied Mathematics 33 (3), 537-556, 2016
42016
An ultradiscrete integrable map arising from a pair of tropical elliptic pencils
A Nobe
Physics Letters A 375 (47), 4178-4182, 2011
42011
Linearizable cellular automata
A Nobe, F Yura
Journal of Physics A: Mathematical and Theoretical 40 (26), 7159, 2007
42007
Periodic multiwave solutions to the Toda-type cellular automaton
A Nobe
Journal of Physics A: Mathematical and General 38 (43), L715, 2005
42005
Generators of rank 2 cluster algebras of affine types via linearization of seed mutations
A Nobe
Journal of Mathematical Physics 60 (7), 2019
32019
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Articles 1–20