English

Integrability in differential coverings

Exactly Solvable and Integrable Systems 2014-12-23 v1 Differential Geometry

Abstract

Let τ ⁣:E~E\tau\colon\tilde{\mathcal{E}}\to\mathcal{E} be a differential covering of a PDE E~\tilde{\mathcal{E}} over E\mathcal{E}. We prove that if E\mathcal{E} possesses infinite number of symmetries and/or conservation laws then E~\tilde{\mathcal{E}} has similar properties.

Cite

@article{arxiv.1310.1189,
  title  = {Integrability in differential coverings},
  author = {I. Krasil'shchik},
  journal= {arXiv preprint arXiv:1310.1189},
  year   = {2014}
}
R2 v1 2026-06-22T01:40:11.421Z