Recent developments in lie group analysis and its applications in interdisciplinary areas

Abstract

Lie group analysis deals with the study of differential equations and symmetries utilizing the theory of Lie groups and Lie algebras. Lie groups are continuous groups that describe symmetries of differential equations and have many applications in a wide range of fields such as engineering, mathematics, and physics. Recent developments emphasize the growing importance of Lie group analysis in interdisciplinary research and provide robust frameworks for comprehending symmetries and transformations across various scientific fields.