Asymptotic integration of systems of two wave equations with small parameter
Aleksandras Krylovas
Vilniaus Gedimino technikos universitetas
Published 2016-12-20


asymptotic solutions
wave equation

How to Cite

Krylovas A. (2016) “Asymptotic integration of systems of two wave equations with small parameter”, Lietuvos matematikos rinkinys, 57(B), pp. 31–36. doi: 10.15388/LMR.B.2016.06.


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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