Asymptotic integration of systems of two wave equations with small parameter | Zendy

Aleksandras Krylovas | Zendy

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Asymptotic integration of systems of two wave equations with small parameter

Author(s) -

Aleksandras Krylovas

Publication year - 2016

Publication title -

lietuvos matematikos rinkinys

Language(s) - English

Resource type - Journals

eISSN - 2335-898X

pISSN - 0132-2818

DOI - 10.15388/lmr.b.2016.06

Subject(s) - nonlinear system , mathematics , mathematical analysis , homogeneous , series (stratigraphy) , perturbation (astronomy) , method of matched asymptotic expansions , scale (ratio) , asymptotic analysis , space (punctuation) , differential equation , physics , computer science , paleontology , quantum mechanics , operating system , combinatorics , biology

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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