Perturbation solutions of fifth order oscillatory nonlinear systems

Oscillatory systems play an important role in the nature. Many engineering problems and physical systems of fifth degrees of freedom are oscillatory and their governing equations are fifth order nonlinear differential equations. To investigate the solution of fifth order weakly nonlinear oscillator...

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Main Authors:	M. Ali Akbar, Sk. Tanzer Ahmed Siddique
Format:	Article
Language:	English
Published:	Vilnius University Press 2011-04-01
Series:	Nonlinear Analysis
Subjects:	nonlinearity oscillatory systems perturbation eigenvalues
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14100

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spelling	doaj-ee69b4e592c24ac9b3f1328bdd9068c72020-11-24T21:21:37ZengVilnius University PressNonlinear Analysis1392-51132335-89632011-04-01162Perturbation solutions of fifth order oscillatory nonlinear systemsM. Ali Akbar0Sk. Tanzer Ahmed Siddique1University of Rajshahi, BangladeshUniversity of Rajshahi, Bangladesh Oscillatory systems play an important role in the nature. Many engineering problems and physical systems of fifth degrees of freedom are oscillatory and their governing equations are fifth order nonlinear differential equations. To investigate the solution of fifth order weakly nonlinear oscillatory systems, in this article the Krylov–Bogoliubov–Mitropolskii (KBM) method has been extended and desired solution is found. An example is solved to illustrate the method. The results obtain by the extended KBM method show good agreement with those obtained by numerical method. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14100nonlinearityoscillatory systemsperturbationeigenvalues
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. Ali Akbar Sk. Tanzer Ahmed Siddique
spellingShingle	M. Ali Akbar Sk. Tanzer Ahmed Siddique Perturbation solutions of fifth order oscillatory nonlinear systems Nonlinear Analysis nonlinearity oscillatory systems perturbation eigenvalues
author_facet	M. Ali Akbar Sk. Tanzer Ahmed Siddique
author_sort	M. Ali Akbar
title	Perturbation solutions of fifth order oscillatory nonlinear systems
title_short	Perturbation solutions of fifth order oscillatory nonlinear systems
title_full	Perturbation solutions of fifth order oscillatory nonlinear systems
title_fullStr	Perturbation solutions of fifth order oscillatory nonlinear systems
title_full_unstemmed	Perturbation solutions of fifth order oscillatory nonlinear systems
title_sort	perturbation solutions of fifth order oscillatory nonlinear systems
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2011-04-01
description	Oscillatory systems play an important role in the nature. Many engineering problems and physical systems of fifth degrees of freedom are oscillatory and their governing equations are fifth order nonlinear differential equations. To investigate the solution of fifth order weakly nonlinear oscillatory systems, in this article the Krylov–Bogoliubov–Mitropolskii (KBM) method has been extended and desired solution is found. An example is solved to illustrate the method. The results obtain by the extended KBM method show good agreement with those obtained by numerical method.
topic	nonlinearity oscillatory systems perturbation eigenvalues
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14100
work_keys_str_mv	AT maliakbar perturbationsolutionsoffifthorderoscillatorynonlinearsystems AT sktanzerahmedsiddique perturbationsolutionsoffifthorderoscillatorynonlinearsystems
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Perturbation solutions of fifth order oscillatory nonlinear systems

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