Topic of Research Seminar: Hidden Symmetries of Ordinary Differential Equations

Abstract: Symmetries provide a powerful framework for analyzing and solving ordinary differential equations. The study begins with foundational symmetries such as Lie point symmetries, contact symmetries, and nonlocal symmetries, each offering a unique perspective on the structure and integrability of differential equations. Hidden symmetries, the central focus of this work, are those not apparent in the original equation but revealed through processes like order reduction or transformations. These symmetries often arise from deeper geometric or analytic structures and can be traced back to nonlocal or contact symmetries. Understanding their origin and behavior not only deepens insight into the solution space of differential equations but also uncovers new solution techniques. This exploration of hidden symmetries highlights their role in extending classical symmetry methods and broadens the horizon of symmetry-based approaches in mathematical analysis.

Subject Field of Topic: Symmetry Methods for Differential Equations

Name of Speaker: Ms. Nimra Sher Asghar

Professorial Rank of Speaker: PhD Scholar (Mathematics Dpt.) SNS – NUST

Email of Speaker: [email protected]

Date and Venue: (Wednesday) 07 May 2025, 03:30 pm, Room # 303, Old Building, School of Natural Sciences (SNS), NUST Islamabad