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 | 1227 | 1998 |
On reversibility of cellular automata with periodic boundary conditions A Nobe, F Yura Journal of Physics A: Mathematical and General 37 (22), 5789, 2004 | 44 | 2004 |
Ultradiscrete QRT maps and tropical elliptic curves A Nobe Journal of Physics A: Mathematical and Theoretical 41 (12), 125205, 2008 | 32 | 2008 |
An ultradiscretization of the sine-Gordon equation S Isojima, M Murata, A Nobe, J Satsuma Physics Letters A 331 (6), 378-386, 2004 | 23 | 2004 |
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 | 20 | 2001 |
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 | 18 | 2009 |
Ultradiscretization of solvable one-dimensional chaotic maps K Kajiwara, A Nobe, T Tsuda Journal of Physics A: Mathematical and Theoretical 41 (39), 395202, 2008 | 17 | 2008 |
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 | 16 | 2005 |
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 | 11 | 2016 |
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 | 8 | 2013 |
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 | 8 | 2006 |
Ultradiscretization of elliptic functions and its applications to integrable systems A Nobe Journal of Physics A: Mathematical and General 39 (20), L335, 2006 | 8 | 2006 |
On periodic mappings arising from the QRT system A Nobe Theoretical and Applied Mechanics Japan 52, 229-237, 2003 | 8 | 2003 |
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 | 8 | 2001 |
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 | 7 | 2009 |
Group actions on the tropical Hesse pencil A Nobe Japan Journal of Industrial and Applied Mathematics 33 (3), 537-556, 2016 | 4 | 2016 |
An ultradiscrete integrable map arising from a pair of tropical elliptic pencils A Nobe Physics Letters A 375 (47), 4178-4182, 2011 | 4 | 2011 |
Linearizable cellular automata A Nobe, F Yura Journal of Physics A: Mathematical and Theoretical 40 (26), 7159, 2007 | 4 | 2007 |
Periodic multiwave solutions to the Toda-type cellular automaton A Nobe Journal of Physics A: Mathematical and General 38 (43), L715, 2005 | 4 | 2005 |
Generators of rank 2 cluster algebras of affine types via linearization of seed mutations A Nobe Journal of Mathematical Physics 60 (7), 2019 | 3 | 2019 |