Nonlinear Reaction-Diffusion-Convection Equations

Lie and Conditional Symmetry, Exact Solutions and Their Applications

Roman Cherniha, Mykola Serov, Oleksii Pliukhin (Autoren)

Buch | Hardcover

260 Seiten

2017
Chapman & Hall/CRC (Verlag)
978-1-4987-7617-2 (ISBN)

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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.

Roman Cherniha is a professor at the Institute of Mathematics, National Academy of Sciences, Ukraine. His main areas of interest are Non-linear PDEs: Lie and conditional symmetries, exact solutions and their properties and the application of modern methods for analytical solving nonlinear boundary value problems. He is the author of over 100 scientific papers and has acted as the referee for several international scientific journals. Mykola I. Serov is a professor at the National Technical University, Ukraine. His main areas of interest at Lie symmetries of partial differential equations (PDEs), Conditional symmetries of PDEs and nonlocal symmetries of PDEs. He has authored over 60 scientific papers and published 6 Monographs (in Ukrainian). Oleksii H. Pliukhin is an associate professor at the National Technical University, Ukraine. His main areas of interest are Lie symmetries of partial differential equations (PDEs), Conditional symmetries of PDEs and exact soutions and their properties of PDEs. He has participated in many scientific conferences and workshops, and published 13 scientific papers.

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.

Erscheinungsdatum	16.03.2018
Reihe/Serie	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Zusatzinfo	15 Tables, black and white; 18 Illustrations, black and white
Sprache	englisch
Maße	156 x 234 mm
Gewicht	498 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4987-7617-5 / 1498776175
ISBN-13	978-1-4987-7617-2 / 9781498776172
Zustand	Neuware