Open AccessAnalysis of asymptotics for a model of nonlinear oscillations of the absolute elastic weightless string
Author(s) -
Olga Lavcel,
Aleksandras Krylovas
Publication year - 2009
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2009.07
Subject(s) - nonlinear system , string (physics) , nonlinear oscillations , work (physics) , physics , classical mechanics , scheme (mathematics) , mathematics , mathematical analysis , asymptotic analysis , statistical physics , theoretical physics , calculus (dental) , quantum mechanics , medicine , dentistry
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.