Abstract
Equation of nonlinear seismic wave evolution with limited frequency range of oscillation amplitude increasing is analysed. In accordance with the evolution equation the system impulse is conserved. Energy functional properties are studied. Spatial mode period of the peak amplification in initial perturbation is investigated. Conservation of convective nonlinearity results in stable steady structures running with velocity of nonlinear seismic waves. Mathematical investigation into nonlinear seismic waves is conducted in terms of generalized model of viscoelastic body with internal oscillators reducing to Burgers-Korteweg-de-Vries generalized equation for the case of weak one-dimensional plane longitudinal waves.
| Original language | English |
|---|---|
| Pages (from-to) | 795-802 |
| Number of pages | 8 |
| Journal | Prikladnaya Matematika i Mekhanika |
| Volume | 55 |
| Issue number | 5 |
| State | Published - Sep 1991 |