scientific article; zbMATH DE number 7311892

zbMath1474.34255MaRDI QIDQ5151351

Ashwini Kulkarni, Sarita Thakar

Publication date: 17 February 2021

Full work available at URL: http://www.informaticsjournals.com/index.php/jims/article/view/2380

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zbMATH Keywords

non-linear oscillatorsLie group symmetryLienard-type equationnon-holonomic transformation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• A class of exact solutions of the Liénard-type ordinary nonlinear differential equation
• First integrals for time-dependent higher-order Riccati equations by nonholonomic transformation
• Almost periodic and asymptotically almost periodic solutions of Liénard equations
• Oscillations for Liénard type equations
• Nonholonomic mapping principle for classical and quantum mechanics in spaces with curvature and torsion.
• A simple and unified approach to identify integrable nonlinear oscillators and systems
• A group theoretical identification of integrable equations in the Liénard-type equation ẍ+f(x)ẋ+g(x)=. II. Equations having maximal Lie point symmetries
• On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations

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