Asymptotic integration of systems of two wave equations with small parameter

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...

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Bibliographic Details
Main Author: Aleksandras Krylovas
Format: Article
Language:English
Published: Vilnius University Press 2016-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17732