New method for solving strong conservative odd parity nonlinear oscillators: Applications to plasma physics and rigid rotator

In the present work, a new method for solving a strong nonlinear oscillator equation of the form ẍ + F(x) = 0, where F(−x) = −F(x), is carried out. This method consists of approximating function F(x) by means of a suitable Chebyshev polynomial: F(x) ≈ P(x) = px + qx3 + rx5, and then, the original o...

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Bibliographic Details
Main Authors: Ma’mon Abu Hammad, Alvaro H. Salas, S. A. El-Tantawy
Format: Article
Language:English
Published: AIP Publishing LLC 2020-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0015160