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

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

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.

Bibliographic Details
Main Authors: Olga Lavcel, Aleksandras Krylovas
Format: Article
Language:English
Published: Vilnius University Press 2009-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
asymptotical methods
averaging
nonlinear waves
approximations
Online Access:https://www.journals.vu.lt/LMR/article/view/17883
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spelling doaj-9f4a886b41e1472d87cb02024d36791e2020-11-25T02:58:16ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2009-12-0150proc. LMS10.15388/LMR.2009.07Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless stringOlga Lavcel0Aleksandras Krylovas1Mykolo Romerio universitetasMykolo Romerio universitetas 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. https://www.journals.vu.lt/LMR/article/view/17883asymptotical methodsaveragingnonlinear wavesapproximations
collection DOAJ
language English
format Article
sources DOAJ
author Olga Lavcel
Aleksandras Krylovas
spellingShingle Olga Lavcel
Aleksandras Krylovas
Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
Lietuvos Matematikos Rinkinys
asymptotical methods
averaging
nonlinear waves
approximations
author_facet Olga Lavcel
Aleksandras Krylovas
author_sort Olga Lavcel
title Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
title_short Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
title_full Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
title_fullStr Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
title_full_unstemmed Analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
title_sort analysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
publisher Vilnius University Press
series Lietuvos Matematikos Rinkinys
issn 0132-2818
2335-898X
publishDate 2009-12-01
description 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.
topic asymptotical methods
averaging
nonlinear waves
approximations
url https://www.journals.vu.lt/LMR/article/view/17883
work_keys_str_mv AT olgalavcel analysisofasymptoticsforamodelofnonlinearoscillationsoftheabsoluteelasticweightlessstring
AT aleksandraskrylovas analysisofasymptoticsforamodelofnonlinearoscillationsoftheabsoluteelasticweightlessstring
_version_ 1724707439833513984

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