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The Anharmonic Oscillator With Variable Damping

✍ Scribed by J.M. Cerveró; P.R. Gordoa; P.G. Estévez

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
182 KB
Volume
167
Category
Article
ISSN
0022-460X

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✦ Synopsis

A thorough analysis on the integrability of the anharmonic oscillator with variable damping coefficients is carried out. Using Painlevé analysis we find the most general form of the damping that allows for integrability of the oscillator. We present a novel method that yields exact and explicit solutions. These solutions are presented and classified. The method could eventually be used for generating more solutions for other values of the critical parameters.

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