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

1st Edition

Roman Cherniha, Mykola Serov, Oleksii Pliukhin

Chapman and Hall/CRC
Published October 19, 2017
Reference - 238 Pages - 18 B/W Illustrations
ISBN 9781498776172 - CAT# K29716
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Summary

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. 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. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.