Sufficient set of integrability conditions of an orthonomic system

Details Sufficient set of integrability conditions of an orthonomic system Sufficient set of integrability conditions of an orthonomic system

2006-05-03

arxiv.org/abs/nlin/0605009v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

v. 3, in comparison to v. 2, contains: a) a proof of irredundancy; b) generalization to non-autoreduced infinite prolongations

Scientific paper

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.

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