English

Integrable (3+1)-dimensional systems with rational Lax pairs

Analysis of PDEs 2018-02-06 v1 Exactly Solvable and Integrable Systems

Abstract

The search for new integrable (3+1)-dimensional partial differential systems is among the most important challenges in the modern integrability theory. It turns out that such a system can be associated to any pair of rational functions of one variable in general position, as established below using contact Lax pairs introduced in arXiv:1401.2122.

Keywords

Cite

@article{arxiv.1711.07395,
  title  = {Integrable (3+1)-dimensional systems with rational Lax pairs},
  author = {A. Sergyeyev},
  journal= {arXiv preprint arXiv:1711.07395},
  year   = {2018}
}

Comments

4 pages, no figures; this is a follow-up of arXiv:1401.2122v5

R2 v1 2026-06-22T22:51:40.389Z