An investigation of solving third-order nonlinear ordinary differential equation in complex domain by generalising Prelle-Singer method
type: Item
instance of: scholarly article
title: An investigation of solving third-order nonlinear ordinary differential equation in complex domain by generalising Prelle-Singer method
zbMATH Open document ID: 1472.34152
DOI: 10.1155/2020/5276024
author: Ali K. Joohy
author: Ghassan A. Al-Juaifri
author: M. Mechee
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: A method to solve a family of third-order nonlinear ordinary complex differential equations (NLOCDEs) -- nonlinear ODEs in the complex plane -- by generalizing Prelle-Singer has been developed. The approach that the authors generalized is a procedure of obtaining a solution to a kind of second-order nonlinear ODEs in the real line. Some theoretical work has been illustrated and applied to several examples. Also, an extended technique of generating second and third motion integrals in the complex domain has been introduced, which is conceptually an analog to the motion in the real line. Moreover, the procedures of the method mentioned above have been verified.
Mathematics Subject Classification ID: 34M04
zbMATH DE Number: 7349530
Wikidata QID: Q115243825
describes a project that uses: Maple
describes a project that uses: InSyDE
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5276024
OpenAlex ID: W3011694976
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description: scientific article; zbMATH DE number 7349530