QUALITATIVELY INVESTIGATING EQUATIONS OF NONLINEAR WAVE DYNAMICS IN THE THEORY OF ELASTICITY, HYDRO-GAS DYNAMICS AND ACOUSTICS |
| 1 | |
| 2013 |
| scientific article | 539.1:533.601:534 | ||
| 64-69 | wave dynamics, nonlinear waves, group analysis, asymptotic methods. |
| 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. |
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