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Applying Differential Forms and the Generalized Sundman Transformations in Linearizing the Equation of Motion of a Free Particle in a Space of Constant Curvature

Author

Listed:
  • Joel M. Orverem
  • Y. Haruna
  • Bala M. Abdulhamid
  • Magaji Y. Adamu

Abstract

Equation of motion of a free particle in a space of constant curvature applies to many fields, such as the fixed reduction of the second member of the Burgers classes, the study of fusion of pellets, equations of Yang-Baxter, the concept of univalent functions as well as spheres of gaseous stability to mention but a few. In this study, the authors want to examine the linearization of the said equation using both point and non-point transformation methods. As captured in the title, the methods under examination here are the differential forms (DF) and the generalized Sundman transformations (GST), which are point and non-point transformation methods respectively. The comparative analysis of the solutions obtained via the two linearizability methods is also taken into account.

Suggested Citation

  • Joel M. Orverem & Y. Haruna & Bala M. Abdulhamid & Magaji Y. Adamu, 2021. "Applying Differential Forms and the Generalized Sundman Transformations in Linearizing the Equation of Motion of a Free Particle in a Space of Constant Curvature," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(5), pages 1-5, October.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:5:p:5
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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