Solution to the initial value problem of the ultradiscrete periodic Toda equation

Makoto Idzumi; Shinsuke Iwao; Jun Mada; Tetsuji Tokihiro

doi:10.1088/1751-8113/42/31/315209

Solution to the initial value problem of the ultradiscrete periodic Toda equation

Makoto Idzumi, Shinsuke Iwao, Jun Mada, Tetsuji Tokihiro

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We present an expression for the solution to the initial value problem for the ultradiscrete periodic Toda equation. The expression provides explicit forms of all dependent variables of the equation, while the previously known solutions give only half of the dependent variables while the others have to be determined implicitly using the conserved quantities.

Original language	English
Article number	315209
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	31
DOIs	https://doi.org/10.1088/1751-8113/42/31/315209
Publication status	Published - 2009
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/42/31/315209

Cite this

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abstract = "We present an expression for the solution to the initial value problem for the ultradiscrete periodic Toda equation. The expression provides explicit forms of all dependent variables of the equation, while the previously known solutions give only half of the dependent variables while the others have to be determined implicitly using the conserved quantities.",

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AU - Mada, Jun

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AB - We present an expression for the solution to the initial value problem for the ultradiscrete periodic Toda equation. The expression provides explicit forms of all dependent variables of the equation, while the previously known solutions give only half of the dependent variables while the others have to be determined implicitly using the conserved quantities.

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Solution to the initial value problem of the ultradiscrete periodic Toda equation

Abstract

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