English

On vector Schwarz-KdV equation

Exactly Solvable and Integrable Systems 2025-09-04 v1

Abstract

A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We give them for the Schwarz-KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial experimental fact, any mathematical explanation of which is not yet known.

Keywords

Cite

@article{arxiv.2509.03155,
  title  = {On vector Schwarz-KdV equation},
  author = {M. Balakhev and V. Sokolov},
  journal= {arXiv preprint arXiv:2509.03155},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-07-01T05:18:59.342Z