Solutions of some wave models of mechanics

Abstract: The paper deals with one-dimensional nonstationary second order partial derivative equations describing waves in inhomogeneous and nonlinear media.

Contact transformations and differential Euler substitutions are used to construct solutions.

General solutions of some nonstationary models of continuum mechanics are found.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods