Exact Solution for Nonlinear Oscillators with Coordinate-Dependent Mass

Authors

  • Ata Abu- As'ad Department of Applied Mathematics, Faculty of Applied Science, Palestine Technical University
  • Jihad Asad Department of Physics, Faculty of Applied Sciences, Palestine Technical University https://orcid.org/0000-0002-6862-1634

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4306

Keywords:

Homotopoty Perturbation, Equlibirum fixed pion, Lyapunoví function, stability stconsarvative, potiential function positive deÖnite matrix, singular value, spectral norm, matrix converge

Abstract

In this work, we aim to obtain an exact solution for a nonlinear oscillator with coordinate position- dependent mass. The equation of motion of the nonlinear oscillator under investigation becomes exact after making reduction of order. The obtained solution was expressed in terms of position and time. Initial conditions were applied, in addition to modiOed initial condition. Finally, Oxed points where studied with their stability, and some plots desribing the system where presented.

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Published

2022-04-30

Issue

Vol. 15 No. 2: (April 2022)

Section

Topology

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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How to Cite

Exact Solution for Nonlinear Oscillators with Coordinate-Dependent Mass. (2022). European Journal of Pure and Applied Mathematics, 15(2), 496-510. https://doi.org/10.29020/nybg.ejpam.v15i2.4306