Application of the Orbits Method to Integration of Linear Differential Equations with Non-Commutative Symmetries
نویسنده
چکیده
Commutative algebra of symmetries is not a sufficient condition for the separation of variables. It is necessary for the solvability of system (2) that operators Yμ must meet additional requirements [2]. Let linear differential equation (1) allow a non-Abelian symmetry group G. We shall now investigate the most efficient way how the non-Abelian symmetry group can be used for the integration of that equation.
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تاریخ انتشار 2004