A short note on nonlocal transformations and first integrals for certain nonlinear oscillator equations

DOI10.1155/2013/702382zbMath1470.34108OpenAlexW2164199188WikidataQ58916667 ScholiaQ58916667MaRDI QIDQ2318992

Emrullah Yaşar

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/702382

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

• On the nonlocal symmetries of certain nonlinear oscillators and their general solution
• On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type
• On isochronous cases of the Cherkas system and Jacobi's last multiplier
• Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients

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