An adiabatic mode time-dependent parabolic equation
M.Yu.Trofimov
TL;DR
This paper derives a new adiabatic mode time-dependent parabolic equation for 3D underwater acoustic propagation using the multiple-scale method, providing a basis for analyzing complex acoustic environments.
Contribution
It introduces a novel derivation of the adiabatic mode equation for 3D underwater acoustics via the multiple-scale approach.
Findings
Formulation of the adiabatic mode time-dependent parabolic equation
Analysis of the Cauchy problem for the derived equation
Potential applications in underwater acoustic modeling
Abstract
An adiabatic mode time-dependent parabolic equation for the 3D problems of underwater acoustic propagation problem is derived by the multiple-scale method. The Cauchy problem for this equation is considered.
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Taxonomy
TopicsUnderwater Acoustics Research · Differential Equations and Numerical Methods · Arctic and Antarctic ice dynamics