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2020 An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method
Ali K. Joohy, Ghassan A. Al-Juaifri, Mohammed S. Mechee
Int. J. Differ. Equ. 2020: 1-9 (2020). DOI: 10.1155/2020/5276024

Abstract

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.

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Ali K. Joohy. Ghassan A. Al-Juaifri. Mohammed S. Mechee. "An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method." Int. J. Differ. Equ. 2020 1 - 9, 2020. https://doi.org/10.1155/2020/5276024

Information

Received: 1 June 2019; Accepted: 20 February 2020; Published: 2020
First available in Project Euclid: 14 May 2020

MathSciNet: MR4080302
Digital Object Identifier: 10.1155/2020/5276024

Rights: Copyright © 2020 Hindawi

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