Качественное исследование уравнений нелинейной волновой динамики в теории упругости, гидро-газодинамике и акустике

Using the multi-scale asymptotic method, an equation modeling the propagation of nonlinear excitations in elasticity, gas dynamics and acoustics is derived. Square nonlinear evolution equation modeling the propagation of shear waves in continua is investigated using group analysis.