From soliton equations to integrable cellular automata through a limiting procedure T Tokihiro, D Takahashi, J Matsukidaira, J Satsuma Physical Review Letters 76 (18), 3247, 1996 | 606 | 1996 |
A soliton cellular automaton D Takahashi, J Satsuma Journal of the Physical Society of Japan 59 (10), 3514-3519, 1990 | 437 | 1990 |
An elementary introduction to Sato theory Y Ohta, J Satsuma, D Takahashi, T Tokihiro Progress of Theoretical Physics Supplement 94, 210-241, 1988 | 340 | 1988 |
Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton K Nishinari, D Takahashi Journal of Physics A: Mathematical and General 31 (24), 5439, 1998 | 204 | 1998 |
Box and ball system with a carrier and ultradiscrete modified KdV equation D Takahashi, J Matsukidaira Journal of Physics A: Mathematical and General 30 (21), L733, 1997 | 158 | 1997 |
Toda-type cellular automaton and its N-soliton solution J Matsukidaira, J Satsuma, D Takahashi, T Tokihiro, M Torii Physics Letters A 225 (4-6), 287-295, 1997 | 141 | 1997 |
Multi-value cellular automaton models and metastablestates in a congested phase K Nishinari, D Takahashi Journal of Physics A: Mathematical and general 33 (43), 7709, 2000 | 116 | 2000 |
Explicit analysis of impedance spectra related to thin films of spinel LiMn2O4 M Mohamedi, D Takahashi, T Uchiyama, T Itoh, M Nishizawa, I Uchida Journal of power sources 93 (1-2), 93-103, 2001 | 114 | 2001 |
On some soliton systems defined by using boxes and balls D Takahashi Proceedings of the international symposium on nonlinear theory and its …, 1993 | 101 | 1993 |
A new deterministic CA model for traffic flow with multiple states K Nishinari, D Takahashi Journal of Physics A: Mathematical and general 32 (1), 93, 1999 | 79 | 1999 |
Box and ball system as a realization of ultradiscrete nonautonomous KP equation T Tokihiro, D Takahashi, J Matsukidaira Journal of Physics A: Mathematical and General 33 (3), 607, 2000 | 71 | 2000 |
Combinatorial representation of invariants of a soliton cellular automaton M Torii, D Takahashi, J Satsuma Physica D: Nonlinear Phenomena 92 (3-4), 209-220, 1996 | 69 | 1996 |
Cellular automata and ultra-discrete Painlevé equations B Grammaticos, Y Ohta, A Ramani, D Takahashi, KM Tamizhmani Physics Letters A 226 (1-2), 53-58, 1997 | 65 | 1997 |
Soliton cellular automaton, Toda molecule equation and sorting algorithm A Nagai, D Takahashi, T Tokihiro Physics Letters A 255 (4-6), 265-271, 1999 | 60 | 1999 |
Constructing solutions to the ultradiscrete Painlevé equations D Takahashi, T Tokihiro, B Grammaticos, Y Ohta, A Ramani Journal of Physics A: Mathematical and General 30 (22), 7953, 1997 | 59 | 1997 |
On discrete soliton equations related to cellular automata D Takahashi, J Matsukidaira Physics Letters A 209 (3-4), 184-188, 1995 | 59 | 1995 |
Explicit solutions of magma equation D Takahashi, J Satsuma Journal of the Physical Society of Japan 57 (2), 417-421, 1988 | 46 | 1988 |
The ultimate discretisation of the Painlevé equations A Ramani, D Takahashi, B Grammaticos, Y Ohta Physica D: Nonlinear Phenomena 114 (3-4), 185-196, 1998 | 42 | 1998 |
Ultradiscrete soliton solution of permanent type D Takahashi, R Hirota journal of the physical society of japan 76 (10), 104007-104007, 2007 | 40 | 2007 |
Discrete and ultradiscrete systems R Hirota, D Takahashi Tokyo, Kyoritsu Shuppan, 2003 | 31 | 2003 |