An investigation of solving third-order nonlinear ordinary differential equation in complex domain by generalising Prelle-Singer method

DOI10.1155/2020/5276024zbMath1472.34152OpenAlexW3011694976WikidataQ115243825 ScholiaQ115243825MaRDI QIDQ2026230

Ghassan A. Al-Juaifri, Ali K. Joohy, Mohammed S. Mechee

Publication date: 19 May 2021

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5276024

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Uses Software

• Maple
• InSyDE

Cites Work

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• The linear differential equations with complex constant coefficients and Schrödinger equations
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• Elementary First Integrals of Differential Equations
• Advanced Calculus of a Single Variable
• Solving second-order ordinary differential equations by extending the Prelle-Singer method
• Sundman Symmetries of Nonlinear Second-Order and Third-Order Ordinary Differential Equations
• New aspects of integrability of force-free Duffing–van der Pol oscillator and related nonlinear systems
• The Prelle-Singer method and Painlevé hierarchies
• Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers
• Interconnections between various analytic approaches applicable to third-order nonlinear differential equations
• On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
• Convex analysis and monotone operator theory in Hilbert spaces
• Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: the \(S\)-function method

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