
TL;DR
This paper introduces a new method for solving a class of second-order quasilinear nonelliptical equations, demonstrated through exact solutions for potential stationary flow of a compressible gas in a supersonic region.
Contribution
It develops a novel approach for solving complex nonlinear equations and provides classification and parametrization of their simple elements.
Findings
Exact solutions for potential stationary flow in supersonic gas regions.
Classification and parametrization of simple elements of the equation.
Abstract
A method for solving a quasilinear nonelliptical equation of the second order is developed and we give classification and parametrization of simple elements of the equation.We find exact solutions of an equation for potential stationary flow of a compressible gas in a supersonic region as an example of the method.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Differential Equations and Boundary Problems · Nonlinear Waves and Solitons
