Special Issue: Lie Symmetry Analysis of Differential Equations in Science and Engineering

2024-08-29

Lie symmetry analysis, pioneered by mathematician Sophus Lie, employs symmetry groups to investigate and solve differential equations. This method involves studying symmetry groups, infinitesimal generators, Lie algebras, and the reduction of order to find exact solutions and classify equations.

Conservation laws in differential equations focus on maintaining constant quantities as systems evolve. These laws are pivotal in science and engineering, encompassing the conservation of energy, momentum, mass, charge, angular momentum, and probability. Energy conservation ensures the total energy remains constant in isolated systems; momentum conservation maintains total momentum; mass conservation preserves total mass; charge conservation upholds total electric charge; angular momentum conservation keeps total angular momentum unchanged; and probability conservation guarantees the total probability density remains consistent in stochastic systems. These principles are essential for developing accurate models of natural and engineered phenomena.

This special issue aims to explore the intersection of Lie symmetry analysis and differential equation solutions. This mathematical approach has significant applications across physics and engineering, facilitating the solution process and enhancing our understanding of complex systems. Relevant fields include mechatronic engineering, oceanography, electrical engineering, chemical engineering, and pharmaceuticals.

We invite global scholars to submit papers and engage in discussions on this topic.

Managing Guest Editor

Name: C.M. Khalique

Affiliation: North-West University, South Africa

Email: Masood.Khalique@nwu.ac.za

Guest Editor

Name: Oke Davies Adeyemo

Affiliation: North-West University, Mafikeng Campus, South Africa

E-Mail: adeyemodaviz@gmail.com

Name: Abdul-Majid Wazwaz

Affiliation: Saint Xavier University, United States of America

E-Mail: wazwaz@sxu.edu