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 |
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 |
Euler-Lagrange correspondence of cellular automaton for traffic-flow models J Matsukidaira, K Nishinari Physical review letters 90 (8), 088701, 2003 | 87 | 2003 |
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 |
Conserved quantities and symmetries of KP hierarchy J Matsukidaira, J Satsuma, W Strampp Journal of mathematical physics 31 (6), 1426-1434, 1990 | 69 | 1990 |
Casorati determinant solution for the relativistic Toda lattice equation Y Ohta, K Kajiwara, J Matsukidaira, J Satsuma Journal of mathematical physics 34 (11), 5190-5204, 1993 | 68 | 1993 |
On discrete soliton equations related to cellular automata D Takahashi, J Matsukidaira Physics Letters A 209 (3-4), 184-188, 1995 | 59 | 1995 |
Solutions of the Broer-Kaup system through its trilinear form J Satsuma, K Kajiwara, J Matsukidaira, J Hietarinta Journal of the Physical Society of Japan 61 (9), 3096-3102, 1992 | 55 | 1992 |
Soliton equations expressed by trilinear forms and their solutions J Matsukidaira, J Satsuma, W Strampp Physics Letters A 147 (8-9), 467-471, 1990 | 50 | 1990 |
Conserved quantities of two-component KP hierarchy K Kajiwara, J Matsukidaira, J Satsuma Physics Letters A 146 (3), 115-118, 1990 | 37 | 1990 |
Dynamical reduction of discrete systems based on the renormalization-group method T Kunihiro, J Matsukidaira Physical Review E 57 (4), 4817, 1998 | 35 | 1998 |
Bilinear form approach to the self-dual Yang-Mills equations and integrable systems in (2+ 1)-dimension N Sasa, Y Ohta, J Matsukidaira Journal of the Physical Society of Japan 67 (1), 83-86, 1998 | 26 | 1998 |
Third-order integrable difference equations generated by a pair of second-order equations J Matsukidaira, D Takahashi Journal of Physics A: Mathematical and General 39 (5), 1151, 2006 | 21 | 2006 |
Integrable four-dimensional nonlinear lattice expressed by trilinear form J Matsukidaira, J Satsuma Journal of the Physical Society of Japan 59 (10), 3413-3416, 1990 | 21 | 1990 |
Max-plus analysis on some binary particle systems D Takahashi, J Matsukidaira, H Hara, BF Feng Journal of Physics A: Mathematical and Theoretical 44 (13), 135102, 2011 | 16 | 2011 |
On a discrete optimal velocity model and its continuous and ultradiscrete relatives D Takahashi, J Matsukidaira JSIAM Letters 1, 1-4, 2009 | 14 | 2009 |
Two-dimensional Burgers cellular automaton K Nishinari, J Matsukidaira, D Takahashi Journal of the Physical Society of Japan 70 (8), 2267-2272, 2001 | 12 | 2001 |
Exactly solvable four-dimensional discrete equation expressed by trilinear form J Matsukidaira, J Satsuma Physics Letters A 154 (7-8), 366-372, 1991 | 12 | 1991 |
Euler–Lagrange correspondence of generalized burgers cellular automaton J Matsukidaira, K Nishinari International Journal of Modern Physics C 15 (04), 507-515, 2004 | 11 | 2004 |