Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models

Abstract

This Special Issue of the journal Symmetry is devoted to recent development of Lie theory and its applications for solving physically and biologically motivated equations and models. In particular, the issue welcomes articles devoted to analysis and classification of Lie algebras, which are invariance algebras of real word models; Lie and conditional symmetry classification problems of nonlinear PDEs; the application of symmetry based methods for finding new exact solutions of nonlinear PDEs (especially reaction-diffusion equations) arising in applications; the application of Lie method for solving nonlinear initial and boundary-value problems (especially those for modelling processes with diffusion, heat transfer, and chemotaxis).