An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method

Autor: Ali K. Joohy, Ghassan A. Al-Juaifri, Mohammed S. Mechee
Jazyk: angličtina
Rok vydání: 2020
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Zdroj: International Journal of Differential Equations, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1687-9643
1687-9651
DOI: 10.1155/2020/5276024
Popis: 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.
Databáze: Directory of Open Access Journals
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