The positive-soliton multi-soliton conjecture for a6(n,k)

Positive solitons are configurations of the cellular automaton Φ(n,k)\Phi(n,k) in their minimal forms, and a multi-soliton solution is a configuration consisting of several such positive solitons. Positive-soliton multi-soliton conjecture. Combining positive solitons gives rise to multi-soliton solutions as in condition (iii) at the beginning of this subsection. This predicts that the positive-soliton scattering examples extend to arbitrary combinations of positive solitons.

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Primary source

Max Glick, Rei Inoue and Pavlo Pylyavskyy, “Soliton cellular automata associated with infinite reduced words”, arXiv:1712.08989 (2018).

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