Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method

DOI10.1063/1.3243455zbMath1283.34001OpenAlexW1977988008MaRDI QIDQ3583614

Barun Khanra, Partha Guha, Anindya Ghose Choudhury

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3243455

zbMATH Keywords

integral equationspolynomialsdifferential equationscosmologystring theoryvectors

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10)

Related Items (6)

Superintegrable cases of four-dimensional dynamical systems ⋮ On the complete integrability of the Raychaudhuri differential system in \(\mathbb {R}^4\) and of a CRNT model in \(\mathbb {R}^5\) ⋮ Invariant algebraic surfaces for generalized Raychaudhuri equations ⋮ Dynamical Analysis of Raychaudhuri Equations Based on the Localization Method of Compact Invariant Sets ⋮ Analytic first integrals for generalized Raychaudhuri equations ⋮ Darbouxian integrals for generalized Raychaudhuri equations

Cites Work

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• Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
• Equations de Pfaff algébriques
• Elementary First Integrals of Differential Equations
• KINEMATICS OF FLOWS ON CURVED, DEFORMABLE MEDIA
• Integrals of motion for three-dimensional non-Hamiltonian dynamical systems
• Liouvillian First Integrals of Differential Equations

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