Integrability criterion in terms of coprime property for the discrete Toda equation-Reference-Cited by-同舟云学术

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Integrability criterion in terms of coprime property for the discrete Toda equation

Published:2015-02 Issue:2 Volume:56 Page:022706
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Kanki Masataka¹^ORCID,Mada Jun²,Tokihiro Tetsuji³

Affiliation:

1. Department of Mathematics, Faculty of Science, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Tokyo 171-8501, Japan

2. College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino, Chiba 275-8576, Japan

3. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo 153-8914, Japan

Funder

Japan Society for the Promotion of Science (JSPS)

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.4908109

Reference20 articles.

1. Mathematical Methods of Classical Mechanics

2. Algebraic Entropy

3. The Painlevé Property

4. Cluster algebras I: Foundations

5. The Laurent Phenomenon

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1. Degree growth of lattice equations defined on a 3x3 stencil;Open Communications in Nonlinear Mathematical Physics;2024-02-15

2. Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice;Journal of Mathematical Physics;2021-10-01

3. Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation—investigation into their extended Laurent properties;Journal of Physics A: Mathematical and Theoretical;2018-07-24

4. Studies on spaces of initial conditions for non-autonomous mappings of the plane;Journal of Integrable Systems;2018-01-01

5. Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation;Journal of Mathematical Physics;2017-01

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