Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-02-14
Nonlinear Sciences
Exactly Solvable and Integrable Systems
10 pages, no figures, unpublished
Scientific paper
A passive orthonomic system of PDEs defines a submanifold in the corresponding jet manifold, coordinated by so called parametric derivatives. We restrict the total differential operators and the prolongation of an evolutionary vector field v to this submanifold. We show that the vanishing of their commutators is equivalent to v being a generalized symmetry of the system.
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