Journal of Nonlinear Mathematical Physics

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Volume 27, Issue 4, September 2020, Pages 697 - 704

Trigonal Toda Lattice Equation

Authors
Shigeki Matsutani
Electrical Engineering and Computer Science, Graduate School of Natural Science & Technology, Kanazawa University, Kakuma Kanazawa, Ishikawa 920-1192, Japan,s-matsutani@se.kanazawa-u.ac.jp
Received 16 December 2019, Accepted 8 March 2020, Available Online 4 September 2020.
DOI
10.1080/14029251.2020.1819622How to use a DOI?
Keywords
Toda lattice equation; directed 6-regular graph; Eisenstein integers
Abstract

In this article, we give the trigonal Toda lattice equation,

−12d3dt3qℓ(t)=eqℓ+1(t)+eqℓ+ζ3(t)++eqℓ+ζ32(t)−3eqℓ(t),
for a lattice point ℓ ∈ 𝕑[ζ3] as a directed 6-regular graph where ζ3=e2π−1/3, and its elliptic solution for the curve y(y − s) = x 3, (s ≠ 0).

Copyright
© 2020 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
27 - 4
Pages
697 - 704
Publication Date
2020/09/04
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2020.1819622How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Shigeki Matsutani
PY  - 2020
DA  - 2020/09/04
TI  - Trigonal Toda Lattice Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 697
EP  - 704
VL  - 27
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2020.1819622
DO  - 10.1080/14029251.2020.1819622
ID  - Matsutani2020
ER  -