ABSTRACT
This chapter discusses the construction of exact solutions of several nonlinear reaction-diffusion-convection (RDC) equations belonging to a class. The theoretical obstacle for developing the general theory follows from the well-known fact that the principle of linear superposition of solutions cannot be applied to generate new exact solutions for nonlinear partial differential equations (PDE). Construction of particular exact solutions for nonlinear RDC equations of the form is a nontrivial and important problem. Finding exact solutions that have a physical, chemical or biological interpretation is of fundamental importance. Classification of exact solutions of nonlinear PDEs from the symmetry point of view is based on the type of symmetry allowing to construct the solution in question. The chapter examines exact solutions of several RDC equations arising in mathematical biology. It explains several nonlinear RDC equations in order to construct exact solutions and to provide their application and/or interpretation.
