Abstract
The properties of an asymptotic method for the study of the propagation of weak shock waves in hyperbolic systems are examined in detail in the simple case of the single nonlinear wave equation in one space dimension. The general features of the method are briefly recalled and a comparison between the results obtained by this method and the exact solutions obtained by the shockfitting technique is made. Under appropriate regularity assumptions the method provides an approximation of the exact solution of the desired order for short times.
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