Hierarchy of general invariants for bivariate LPDOs
Exactly Solvable and Integrable Systems
2015-06-26 v2
Abstract
We study invariants under gauge transformations of linear partial differential operators on two variables. Using results of BK-factorization, we construct hierarchy of general invariants for operators of an arbitrary order. Properties of general invariants are studied and some examples are presented. We also show that classical Laplace invariants correspond to some particular cases of general invariants.
Keywords
Cite
@article{arxiv.nlin/0510039,
title = {Hierarchy of general invariants for bivariate LPDOs},
author = {E. Kartashova},
journal= {arXiv preprint arXiv:nlin/0510039},
year = {2015}
}
Comments
to appear in J. "Theor.Math.Phys." in May 2006