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An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method
Joint Authors
Joohy, Ali K.
Al-Juaifri, Ghassan A.
Mechee, Mohammed S.
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Joohy, Ali K.& Al-Juaifri, Ghassan A.& Mechee, Mohammed S.. 2020. An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1169937
Modern Language Association (MLA)
Joohy, Ali K.…[et al.]. An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method. International Journal of Differential Equations No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1169937
American Medical Association (AMA)
Joohy, Ali K.& Al-Juaifri, Ghassan A.& Mechee, Mohammed S.. An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1169937
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169937