loading page

Lie Symmetries, Painlev\’{e} analysis and global dynamics for the temporal equation of radiating stars
  • Genly Leon,
  • Megandhren Govender,
  • Paliathanasis Andronikos
Genly Leon
Universidad Católica del Norte

Corresponding Author:genly.leon@ucn.cl

Author Profile
Megandhren Govender
Durban University of Technology, Durban, South Africa
Author Profile
Paliathanasis Andronikos
Durban University of Technology, Durban, South Africa
Author Profile


We study the temporal equation of radiating stars by using three powerful methods for the analysis of nonlinear differential equations. Specifically, we investigate the global dynamics for the given master ordinary differential equation to understand the evolution of solutions for various initial conditions as also to investigate the existence of asymptotic solutions. Moreover, with the application of Lie’s theory, we can reduce the order of the master differential equation, while an exact similarity solution is determined. Finally, the master equation possesses the Painlev\’{e} property, which means that the analytic solution can be expressed in terms of a Laurent expansion.
31 Aug 2021Submitted to Mathematical Methods in the Applied Sciences
01 Sep 2021Submission Checks Completed
01 Sep 2021Assigned to Editor
04 Sep 2021Reviewer(s) Assigned
06 Nov 2021Review(s) Completed, Editorial Evaluation Pending
06 Nov 2021Editorial Decision: Revise Major
10 Dec 20211st Revision Received
11 Dec 2021Submission Checks Completed
11 Dec 2021Assigned to Editor
11 Dec 2021Reviewer(s) Assigned
20 Mar 2022Review(s) Completed, Editorial Evaluation Pending
21 Mar 2022Editorial Decision: Accept