Solutions of the Duffing and Painlevé-Gambier equations by generalized Sundman transformation

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AuteurMONSIA, MARC DELPHIN
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2018
ResumeA new approach using the generalized Sundman transformation to solve explicitly and exactly in a straightforward manner the cubic elliptic Duffing equation is proposed in this study. The method has the advantage to closely relate this equation to the linear harmonic oscillator equation and to be applied to solve other nonlinear differential equations. As a result, explicit and exact general periodic solutions to some Painlevé-Gambier type equations have been established and in particular, it is shown that a reduced Painlevé-Gambier XII equation can exhibit trigonometric solutions, but with a shift factor.
Autre identifiantBECDB-9725
URIhttps://dspace.uac.bj/handle/123456789/8664
Languefr
Fait partie deJournal of Mathematics and Statistics
SujetCubic Duffing Equation
SujetPainlevé-Gambier Equations
SujetJacobian Elliptic Functions
Sujetexact periodic solution
SujetGeneralized Sundman Transformation
TitreSolutions of the Duffing and Painlevé-Gambier equations by generalized Sundman transformation
TypeArticle

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