English

Vertex operator for the ultradiscrete KdV equation

Exactly Solvable and Integrable Systems 2009-12-23 v3

Abstract

We propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete KdV equation, which maps N-soliton solutions to N+1-soliton ones.

Keywords

Cite

@article{arxiv.0907.1774,
  title  = {Vertex operator for the ultradiscrete KdV equation},
  author = {Yoichi Nakata},
  journal= {arXiv preprint arXiv:0907.1774},
  year   = {2009}
}

Comments

7 pages, 4 figures In v2, we corrected few mistakes in mathematical expressions. In v3, we pointed out the difference between our approach and that of ref. [4]

R2 v1 2026-06-21T13:23:32.329Z