This volume is devoted to development and application of group and analyticmethods in mathematical physics and theory of differential equations. A majority of papers is focused at investigation of specific linear and nonlinear equations and systems of equations of mathematical and theoretical physics. The wholespectrum of methods and ideas of the modern symmetry analysis is used, i.e.,the classical Lie approach and conditional, nonlocal and discrete symmetries as well. The volume is intended for scientists and post-graduate students interested in applications of Lie groups and algebras to differential equations.