Organizers: Igor Leite Freire, Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, Brazil,
Maria Luz Gandarias, Department of Mathematics, University of Cadiz, Puerto Real, Spain,
Chaudry Masood Khalique, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho, South Africa, Mariano Torrisi and Rita Tracinà, Dipartimento di Matematica e Informatica, University of Catania, Italy.
Email: marialuz.gandarias@uca.es
Many physical phenomena in science and engineering are modelled by nonlinear differential equations. There is no doubt that Lie symmetry methods are one of the most effective set of techniques to find exact solutions of such nonlinear differential equations. They have been used by several scientists and applied to various nonlinear models in physics, biology, engineering, economics, etc.
The Lie symmetry methods identify and extend the concept of symmetry, produce an effective method of symmetry applications in difficult situations, give accurate statement of problems and in many cases show a possible way for finding their solutions.
We organize this session of applications of Lie symmetry methods to search for exact solutions of nonlinear models and to show recent progress of theoretic tools in Lie symmetry methods related to the study of nonlinear differential equations.