3 papers
math-ph2026
An Operator Approach to the Integration of Linear Differential Equations
O. V. Kaptsov
We develop an operator approach to the integration of linear differential equations based on intertwining relations between differential operators. Conditions for the existence of…
math-ph2025
General solutions to the equations of acoustics in inhomogeneous media and gas dynamics
O. V. Kaptsov
This paper considers one-dimensional equations of acoustics equations of inhomogeneous media and the system of gas dynamics equations with constant entropy. Using the Riemann appro…
math-ph2024
Representation of Linear Waves in Inhomogeneous Media
O. V. Kaptsov
The article explores the acoustic equations in inhomogeneous media and the linearized shallow water equations. Two methods for integrating these equations are proposed. The first m…