3 papers
math-ph2025
Acoustic pulse propagation in a non-ideal shallow-water model
Aleksandr Kaplun, Boris Katsnelson
This study develops a theoretical framework for modeling acoustic pulse propagation in a non-ideal shallow-water waveguide. We derive an ε-pseudodifferential operator (ε-PDO) for…
math-ph2025
Dynamical space-time ray tracing and modified horizontal ray method
Aleksandr Kaplun, Boris Katsnelson
The 'vertical modes and horizontal rays' method, commonly applied for simulating acoustic wave propagation in shallow water is advanced in this research. Our approach to this metho…
math-ph2024
Mathematical aspects of space-time horizontal ray method
Aleksandr Kaplun, Boris Katsnelson
The following development of the well-known "vertical modes and horizontal rays" approach for acoustic waves propagation in shallow water, introduced in different works, is studied…