Lie Symmetries and Nonlinear Differential Equations

Organiser: Masood Khalique (Masood.Khalique@nwu.ac.za)

Session info: Nonlinear differential equations describe many physical phenomena in optics, acoustics, fluid dynamics, plasma physics as well as other sciences and engineering fields. Thus, finding their solutions play a key role in understanding and interpreting the structure of these physical phenomena.

However, researchers have established several analytical and numerical techniques that can be utilized to solve nonlinear differential equations. Well-known techniques include the Lie symmetry method, the inverse scattering transformation approach, the Backland transformation method, Euler's method, and the Runge-Kutta method.

This special session will be dedicated to showcasing most recent progress in obtaining analytical and numerical solutions to nonlinear differential equations by various methods and to inspire collaborative research activities.