First integrals for the damped Helmholtz oscillator

DOI10.1080/00207160902815219zbMath1211.34047OpenAlexW2095402314MaRDI QIDQ3056415

Qingguo Meng, Zhao-sheng Feng

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902815219

zbMATH Keywords

infinitesimal generatorfirst integralLie symmetryelliptic functionautonomous systemtotal derivative

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

A new exact solution of a damped quadratic non-linear oscillator ⋮ A modification to the first integral method and its applications ⋮ A new approach for modelling the damped Helmholtz oscillator: applications to plasma physics and electronic circuits ⋮ A method for constructing traveling wave solutions to nonlinear evolution equations ⋮ DYNAMICS OF A DAMPING OSCILLATOR WITH IMPACT AND IMPULSIVE EXCITATION

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