Topic of Research Seminar: One dimensional optimal system for differential equations

Abstract: In this presentation, we construct a one-dimensional optimal system of Lie sub algebras using the Lie group invariance property. An optimal system contains structurally significant information about various types of invariant solutions, and it provides precise insights into all possible invariant solutions arising from infinitesimal symmetries. Then, reduce the Pavlov equation into several homogeneous and non-homogeneous systems of ordinary differential equations (ODEs) that can be solved analytically.

Subject Field of Topic: Approximate Mei Symmetries/ Form Invariance of Lagrangian/Hamiltonian corresponding to some Spacetime

Name of Speaker: Ms. Umara Kausar

Professorial Rank of Speaker: PhD Student (Mathematics Dpt.) SNS

University Email of Speaker: [email protected], [email protected]

Affiliation of Speaker: NUST School of Natural Sciences (NUST-SNS)

Date and Venue: December 07, 2022 at 1530 hrs, School of Natural Sciences (SNS), Old building CR # 303, NUST Islamabad Campus