English

Ultradiscrete Permanent Solution to the Ultradiscrete KP Equation

Exactly Solvable and Integrable Systems 2016-11-29 v1

Abstract

We propose an ultradiscrete permanent solution to the ultradiscrete KP equation. The ultradiscrete permanent is an ultradiscrete analogue of the usual permanent. The elements on this ultradiscrete permanent solution are required some additional relations other than the ultradiscrete dispersion relation. We confirm the solution satisfying these relations and propose some explicit examples of the solution.

Cite

@article{arxiv.1611.09081,
  title  = {Ultradiscrete Permanent Solution to the Ultradiscrete KP Equation},
  author = {Hidetomo Nagai},
  journal= {arXiv preprint arXiv:1611.09081},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T17:06:12.239Z