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By Daisuke Takahashi and Junkichi Satsuma. Journal of the Physical Society of Japan 59, 3514–3519, published 15 October 1990. Publisher abstract describes solitary-wave interactions preserving identities and infinitely many conserved quantities. Full text access is restricted; no claim to inspection of the full paper is made. Publisher affiliations identify Takahashi with applied mathematics/informatics and Satsuma with applied physics.

Daisuke Takahashi is the coauthor with Junkichi Satsuma of A Soliton Cellular Automaton by Daisuke Takahashi and Junkichi Satsuma. Their model, the box-ball system, exhibits interacting localized patterns and conserved quantities through a discrete update rule.^[ref]

The Waseda materials-mathematics profile describes research in discrete nonlinear dynamics, ultradiscretization and exact mathematical models. The institutional profile identifies the relevant researcher; the same romanized name is also used by other researchers.^[ref]

Junkichi Satsuma coauthored A Soliton Cellular Automaton by Daisuke Takahashi and Junkichi Satsuma, introducing a discrete model in which localized patterns interact while preserving their identities. The box-ball system makes soliton behavior visible through an update rule on occupied and empty boxes.

The publisher abstract also describes infinitely many conserved quantities. This contribution connects nonlinear-wave ideas with an explicitly discrete dynamical system, rather than requiring a continuous fluid equation.^[ref]