The degeneracy of Laplace invariants for hyperbolic systems possessing integrals
Exactly Solvable and Integrable Systems
2018-12-27 v1 Mathematical Physics
math.MP
Abstract
A direct generalization of Laplace invariants to the case of hyperbolic partial differential systems is considered. The proof of the following statement is given: the determinant of a Laplace invariant vanishes if the corresponding system admits an integral.
Cite
@article{arxiv.1710.11068,
title = {The degeneracy of Laplace invariants for hyperbolic systems possessing integrals},
author = {S. Ya. Startsev},
journal= {arXiv preprint arXiv:1710.11068},
year = {2018}
}
Comments
3 pages