Computational methods and algorithms

Application of differential forms to construction of nonlocal symmetries

S. I. Agafonov

Moscow Institute of Physics and Technology

Abstract: Differential forms are used for construction of nonlocal symmetries of partial differential equations with conservation laws. Every conservation law allows to introduce a nonlocal variable corresponding to the conserved quantity. A prolongation technique is offered for action of symmetry operators on these nonlocal variables. It is shown how to introduce these variables for the symmetry group to be the same. A new hidden symmetry and corresponding group-invariant solution are found for gas dynamics equations.

Received: 29.04.1993

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