Lietuvos Matematikos Rinkinys (Dec 2016)
Asymptotic integration of systems of two wave equations with small parameter
Abstract
In this article we consider a hyperbolic system of two weakly nonlinear equations. Coefficients of the equations and initial conditions are periodical functions of the space variable. A multi-scale perturbation technique and integrating along characteristics are used to construct asymptotic series without secular members. The scheme of asymptotic integration is applied to analysis of oscillations of nonlinear non-homogeneous strings.
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