Note on the Correspondence of Solutions of Some Systems of Equations
A. G. Kulikovskii
Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Keywords: hyperbolic systems of equations, self-similar solution, simple waves
Abstract
This paper considers hyperbolic systems of equations of a certain type that describe one-dimensional nonlinear waves propagating in the same way in both x directions. Each system of this type can be set in correspondence to a hyperbolic system of equations with a halved order, constructed on the basis of the initial system of equations. The similarity of the solutions of this system of equations and the original one is studied.
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