An ultradiscretization of the sine-Gordon equation

From Soliton Equations to Integrable Cellular Automata through a Limiting Procedure

Tetsuji Tokihiro, Daisuke Takahashi, Junta Matsukidaira et al. · Physical Review Letters · 1996 · 432 citations

Integrable Cellular Automata, Physics, Nonlinear Wave Propagation +8

Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation

Ryogo Hirota · Journal of the Physical Society of Japan · 1977 · 325 citations

Numerical Analysis, Nonlinear Wave Propagation, Dependent Variable Transformation +8

Toda-type cellular automaton and its N-soliton solution

Junta Matsukidaira, Junkichi Satsuma, Daisuke Takahashi et al. · Physics Letters A · 1997 · 100 citations

Toda-type Cellular Automaton, Topological Soliton, Cellular Automaton +1

Integrability of multidimensional discrete systems

A. Ramani, B. Grammaticos, Junkichi Satsuma · Physics Letters A · 1992 · 41 citations

Mathematical Programming, Engineering, Integrable Probability +5

On the Hirota Representation of Soliton Equations with One Tau-Function

Franklin Lambert, Ignace Loris, Johan Springael et al. · Journal of the Physical Society of Japan · 2001 · 14 citations