Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string

Olga  Lavcel; Aleksandras  Krylovas

doi:10.15388/LMR.2009.07

Articles

Olga Lavcel

Mykolo Romerio universitetas

Aleksandras Krylovas

Mykolo Romerio universitetas

Published 2009-12-20

https://doi.org/10.15388/LMR.2009.07

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Keywords

asymptotical methods
averaging
nonlinear waves
approximations

How to Cite

Lavcel, O. and Krylovas, A. (2009) “Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string”, Lietuvos matematikos rinkinys, 50(proc. LMS), pp. 41–46. doi:10.15388/LMR.2009.07.

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Abstract

The mathematical model of string nonlinear oscillations is presented. To found the asymptotic solution of the problem an averaging scheme was constructed in cited latest work of the second author. In this paper a methodology for construction special form soliutions of the system is proposed.

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