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THE DERIVATION OF EVOLUTION EQUATIONS FOR TWO QUASYMONOCHROMATIC NONLINEAR COUNTERPROPAGATING WAVES AND APPLICATION TO PHYSICS AND STOCHASTIC PROCESSES.
Категория: Архив | Новость от: Admin | 13-10-2010

BAGDOEV A.G., KASPARYAN S. H., DAVTYAN A.V., DINUNTS A. S.
Institute of Mechanics of National Academy of Sciences Armenia

Abstract
Evolution equations are powerful tools for investigations of acoustic and elastic waves propagation in continua, since they are much more simple on form with to initial equations of media and allow to describe behavior of parameters in wave regions. In present paper are obtained general nonlinear evolution equations which are applicable for various acoustic media, as, magnetogasdynamics, nonlinear magneto-elasticity et so on. Besides in last time we extrapolate these results on case of counter propagating to waves in nonlinear media and on nonlinear diffusion waves of probability for random processes and on nonlinear models of description of elementary particles motion and interaction.

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