Sufficient set of integrability conditions of an orthonomic system
Exactly Solvable and Integrable Systems
2024-03-21 v3 Symbolic Computation
Abstract
Every orthonomic system of partial differential equations is known to possess a finite number of integrability conditions sufficient to ensure the validity of all. Herewith we offer an efficient algorithm to construct a sufficient set of integrability conditions free of redundancies.
Keywords
Cite
@article{arxiv.nlin/0605009,
title = {Sufficient set of integrability conditions of an orthonomic system},
author = {M. Marvan},
journal= {arXiv preprint arXiv:nlin/0605009},
year = {2024}
}
Comments
v. 3, in comparison to v. 2, contains: a) a proof of irredundancy; b) generalization to non-autoreduced infinite prolongations; c) yet new examples