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On homogeneous symmetries for evolution systems with constraints. (English) Zbl 1016.58023
Slovák, Jan (ed.) et al., The proceedings of the 21th winter school “Geometry and physics”, Srní, Czech Republic, January 13-20, 2001. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 69, 219-231 (2002).
The author obtains sufficient conditions of the finite independence and the commutativity for local as well as non-local homogeneous symmetries of a large class of \((1+1)\)-dimensional evolution systems.
For the entire collection see [Zbl 0994.00029].
58J70 Invariance and symmetry properties for PDEs on manifolds
58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds
35A30 Geometric theory, characteristics, transformations in context of PDEs