Integrating Factors and First Integrals for Liénard Type and Frequency-Damped Oscillators

Emrullah Yaşar

Mathematical Problems in Engineering, 2011, vol. 2011, 1-10

Abstract:

We consider Liénard type and frequency-damped oscillator equations. Integrating factors and the associated first integrals are derived from the method to compute 𠜆 -symmetries and the associated reduction algorithm. The knowledge of a 𠜆 − symmetry of the equation permits the determination of an integrating factor or a first integral by means of coupled first-order linear systems of partial differential equations. We will compare our results with those gained by the other methods.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:916437

DOI: 10.1155/2011/916437

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