English

Natural differential invariants and equivalence of third order nonlinear differential operators

Mathematical Physics 2022-12-07 v1 Differential Geometry math.MP

Abstract

We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third order on a two dimensional manifold and show their application to the equivalence problem of such operators.

Keywords

Cite

@article{arxiv.2212.00371,
  title  = {Natural differential invariants and equivalence of third order nonlinear differential operators},
  author = {Valentin Lychagin and Valeriy Yumaguzhin},
  journal= {arXiv preprint arXiv:2212.00371},
  year   = {2022}
}

Comments

14 pages