Lie Group Analysis: A Microscope of Mathematical Modeling and Undergraduate STEM Research Published in Refereed Journals

The formulation of fundamental natural laws and of technological problems in the form of rigorous mathematical models is given frequently, even prevalently, in terms of nonlinear ordinary and partial differential equations. This presentation is based on research projects that I published with undergraduate students over the last few years in various mathematical, physical, biological and engineering international refereed journals, and represents a unique blend of the traditional analytical and numerical methods enriched by the applications of Lie Group Analysis and applied to engineering, environmental, biological, ocean and atmospheric sciences.