10 citations · 13 across the 8 of their papers we have counts for
5 papers · 1 filter
Mode Gaussian beam tracing
M. Yu. Trofimov, A. D. Zakharenko, S. B. Kozitskiy
An adiabatic mode Helmholtz equation for 3D underwater sound propagation is developed. The Gaussian beam tracing in this case is constructed. The test calculations are carried out…
An amplitude equation for long, nonlinear internal waves in a weak shear flow over topography
M. Yu. Trofimov
A forced, variable coefficients Kor\-te\-weg-de Vries equation for amplitudes of long, nonlinear internal waves in a stratified shear flow over topography is derived when the magni…
An energy flux conserving one-way coupled mode propagation model
M. Yu. Trofimov, S. B. Kozitskiy, A. D. Zakharenko
A pure analytic one-way coupled mode propagation model for resonant interacting modes is obtained by the multiscale expansion method. It is proved that the acoustic energy flux is…
A ray mode parabolic equation for shallow water acoustics propagation problems
M. Yu. Trofimov, A. D. Zakharenko
Ray mode parabolic equations which are suitable for shallow water acoustics propagation problems are derived by the multiple-scale method.
On the parabolic equation method in internal wave propagation
M. Yu. Trofimov, S. B. Kozitskiy, A. D. Zakharenko
A parabolic equation for the propagation of periodic internal waves over varying bottom topography is derived using the multiple-scale perturbation method. Some computational aspec…