Abstract
Abstract
We derive a nonautonomous discrete analogue of the elementary Toda orbits via a spectral transformation of certain biorthogonal Laurent polynomials. We obtain particular solutions of the system by using the theory of biorthogonal polynomials. The obtained system can be written in subtraction-free form and thus can be ultradiscretized. We introduce a new family of cellular automata generalizing Takahashi and Satsuma’s box-ball system with a carrier capacity.
Funder
Joint project ‘Advanced Mathematical Science for Mobility Society’ of Kyoto University and Toyota Motor Corporation
JSPS
Subject
General Physics and Astronomy,Mathematical Physics,Modelling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
1 articles.
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