English

Non-Abelian evolution systems with conservation laws

Exactly Solvable and Integrable Systems 2021-04-15 v2 Mathematical Physics math.MP

Abstract

We find noncommutative analogs for well-known polynomial evolution systems with higher conservation laws and symmetries. The integrability of obtained non-Abelian systems is justified by explicit zero curvature representations with spectral parameter.

Cite

@article{arxiv.2008.09174,
  title  = {Non-Abelian evolution systems with conservation laws},
  author = {V. E. Adler and V. V. Sokolov},
  journal= {arXiv preprint arXiv:2008.09174},
  year   = {2021}
}

Comments

21 pages second version: few minor typos corrected

R2 v1 2026-06-23T18:00:04.609Z