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Information × Registration Number 0207U000916, 0104U000320 , R & D reports Title Symmetrical Analysis of Nonlinear Equations of Mathematical Physics popup.stage_title Head Serov Mykola Ivanovych, Registration Date 15-02-2007 Organization Polava National Technical University named in the honour of Yuri Kondratyuk popup.description2 The matter of the investigation is nonlinear equations of mathematical physics. The of the research are: 1. The study of the symmetrical properties of the mathematical models. 2. The selction from all the models those ones which satisfy the Galilei and Poincare-Einstein relativity principles. The method of the investigation is methods of the symmetrical analysis. The obtained results are: - the Galilean invariance of a nonlinear system of diffusion equations and a system which is a generalization of the Korteweg- de Vries equation; - the nonlocal symmetry of a nonlinear system of diffusion equations; - the conform invariance of a system of quasilinear wave equations; - the conditional symmetry of nonlinear diffusion equation. The obtained groups of invariance were used to construct ansatzes, reduce the origin equations and system and find their exact solutions. Product Description popup.authors popup.nrat_date 2020-04-02 Close