cicyt UNIZAR
Full-text links:

Download:

Current browse context:

math-ph

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo ScienceWISE logo

Mathematical Physics

Title: Toda type equations over multi-dimensional lattices

Abstract: We introduce a class of recursions defined over the $d$-dimensional integer lattice. The discrete equations we study are interpreted as higher dimensional extensions to the discrete Toda lattice equation. We shall prove that the equations satisfy the coprimeness property, which is one of integrability detectors analogous to the singularity confinement test. While the degree of their iterates grows exponentially, they exhibit pseudo-integrable nature in terms of the coprimeness property. We also prove that the equations can be expressed as mutations of a seed in the sense of the Laurent phenomenon algebra.
Comments: 13 pages
Subjects: Mathematical Physics (math-ph); Commutative Algebra (math.AC); Exactly Solvable and Integrable Systems (nlin.SI)
MSC classes: 37K10, 13F60
Cite as: arXiv:1803.06774 [math-ph]
  (or arXiv:1803.06774v1 [math-ph] for this version)

Submission history

From: Masataka Kanki [view email]
[v1] Mon, 19 Mar 2018 01:18:01 GMT (14kb)