English

Integrable partial differential equations and Lie--Rinehart algebras

Exactly Solvable and Integrable Systems 2022-09-14 v3

Abstract

We develop the method for constructing Lax representations of PDEs via the twisted extensions of their algebras of contact symmetries by generalizing the construction to the Lie--Rinehart algebras. We present examples of application of the proposed technique.

Keywords

Cite

@article{arxiv.2111.10886,
  title  = {Integrable partial differential equations and Lie--Rinehart algebras},
  author = {Oleg I. Morozov},
  journal= {arXiv preprint arXiv:2111.10886},
  year   = {2022}
}
R2 v1 2026-06-24T07:46:32.734Z