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Information × Registration Number 0208U006523, 0108U010528 , R & D reports Title Conservation lows and exact solutions of multidimensional systems of mathematical physics popup.stage_title Head Nataliya Ivanova, Registration Date 09-12-2008 Organization Institute of mathematics NAS of Ukraine popup.description2 The following results were obtained: Optimal systems of subalgebras of the maximal invariance algebra are constructed for the (3+1)-dimensional Burgers equation and its exact solutions are obtained. Procedure of construction of potential systems of differential equations with multidimensional spaces of conservation lows is generalized. Three-dimensional orbit functions were studuied and contractions of almost Abelian Lie algebras are exhaustively described. Conservation lows of the diffusion equations in porous medium are classified and the obtained results were applied to potential symmetries of the equations from this class. Group classification of quasilinear reaction-diffusion equations with exponential nonlinearity is done. Frohlich-Peierls Hamiltonian model for electrons which interact with phonons only with some infinite discrete modes is studied and some exact solutions had been found. Product Description popup.authors popup.nrat_date 2020-04-02 Close