Soliton-like behavior in automata by Park, Steiglitz, and Thurston (1986). tags: math, patterns, cellular automata.
Evolution Theory, Periodic Particles, and Solitons in Cellular Automata by Papatheodorou and Fokas (1989). tags: math, patterns, cellular automata.
Coherent structures in cellular automata by Fokas, Papadopoulou, and Saridakis (1990). tags: math, patterns, cellular automata.
The ultimate discretisation of the Painlevé equations by Grammaticos, Ohta, Ramani, Takahashi, and Tamizhmani (1998). tags: math, patterns, cellular automata.
A class of stable multistate time-reversible cellular automata with rich particle content by Ablowitz, Keiser, and Takhtajan (1991). tags: math, patterns, cellular automata.