Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system

Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system

A nonautonomous version of the ultradiscrete hungry Toda lattice with a finite lattice boundary condition is derived by applying reduction and ultradiscretization to a nonautonomous two-dimensional discrete Toda lattice. It is shown that the derived ultradiscrete system has a direct connection to th...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-09, Vol.50 (36), p.365204
1. Verfasser: Maeda, Kazuki
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Sprache:eng
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biorthogonal polynomials
discrete two-dimensional Toda lattice
integrable systems
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description A nonautonomous version of the ultradiscrete hungry Toda lattice with a finite lattice boundary condition is derived by applying reduction and ultradiscretization to a nonautonomous two-dimensional discrete Toda lattice. It is shown that the derived ultradiscrete system has a direct connection to the box-ball system with many kinds of balls and finite carrier capacity. Particular solutions to the ultradiscrete system are constructed by using the theory of some sort of discrete biorthogonal polynomials.
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subjects biorthogonal polynomials
discrete two-dimensional Toda lattice
integrable systems
title Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system
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