Solutions of Linear Model Hydrodynamic Equations with Variable Coefficients
O. V. Kaptsov
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia
Keywords: linear differential equations, operator symmetries, general solutions
Abstract
Linear model equations in partial derivatives with two independent variables are considered. The highest operator symmetries and general solutions for a series of hyperbolic equations are found. Equivalence transformations are constructed for some equations.
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