The derivation of nonlinear equation of slow magnetogasdynamic quasymonochromatic wave in vicinity of singular points taking in account dispersion and dissipation

A. G. Bagdoev¹ - S. G. Sahakyan²

¹ Institute of Mechanics, ASRA, Yerevan, 375019, Armenia
² The Yerevan Architectural - Building Institute, Yerevan, 375014, Armenia

Abstract
The problem of determination of nonlinear solution in vicinity of singular points of slow magnetogasdynamic guasymonochromatic point wave is investigated. On the basis of formerely obtained nonlinear equations for unsteady waves in mentioned vicinity the precised equations taking into account small effects of dispersion and dissipation are constructed. In this way for electro conducting gasfluid mixture non-linear evolution equation is derived. For quasymonochromatic waves this equation is lead to ordinary differential equation of third order with respect to variable meas-ured to normal of ray. The algorithm of solution of nonlinear equation with bound-ary conditions taken from linear solution by the method of leading of equations for amplitudes to integral equations reapeting numerical solution for ccfstics is applied. Fig. 1, Refs 3.