Nonlinear Reaction-Diffusion-Convection Equations: Lie and Conditional Symmetry, Exact Solutions and Their Applications

ISBN-13: 9781498776172 / Angielski / Twarda / 2017 / 238 str.

Roman Cherniha; Mykola Serov; Oleksii Pliukhin

Opis

This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems.

Spis treści

1. Introduction. 2. Lie symmetries of reaction-diffusion-convection equations. 3. Conditional symmetries of reaction-diffusion-convection equations. 4. Exact solutions of reaction-diffusion-convection equations. 5. Method additional generating conditions for constructing exact solutions. 6. Concluding remarks.