The degeneracy of Laplace invariants for hyperbolic systems possessing integrals
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2017
- DOI:
- arXiv:
- arXiv:1710.11068
- Bibcode:
- 2017arXiv171011068S
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematical Physics;
- 37K05;
- 37K10;
- 35L65;
- 35L70
- E-Print:
- 3 pages