Generalized Symmetries of Partial Differential Equations and Quasiexact Solvability

Details Generalized Symmetries of Partial Differential Equations and Quasiexact Solvability Generalized Symmetries of Partial Differential Equations and Quasiexact Solvability

1997-12-04

arxiv.org/abs/dg-ga/9712004v1

Rep. Math. Phys. 41 (1998), No.3, 279-286

Physics

Mathematical Physics

10 pages, Latex, no figures

Scientific paper

10.1016/S0034-4877(98)80016-5

Using the adjoint action of the infinitesimal translations (with respect to some (in)dependant variables) on specific finite-dimensional subspaces of the space of generalized symmetries of some system of partial differential equations, we explicitly determine the dependance of coefficients of generalized symmetries from these subspaces on the above-mentioned variables. We establish the connection of our results with the theory of quasiexactly solvable models. Some generalizations of the approach proposed also are discussed.

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