Articles liés à Exact solutions for nonlinear wave equations

Exact solutions for nonlinear wave equations - Couverture souple

Kalinowski, Marek

 
9783659845291: Exact solutions for nonlinear wave equations

Synopsis

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. The equation for potential stationary flow of a compressible gas in a supersonic region is considered as the first example of an application of the method . A new exact solution is obtained which may be treated as a nonlinear analogue of a stationary wave. A gauge structure for the equation and an analogue of the Baeklund transformation are introduced. Certain classes of exact solutions for an equation of a nonstationary potential flow of a compressible gas are found. This is the second example of an application of the method. Finally a physical analysis of the results is carried out.

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