Nonlinear Reaction-Diffusion-Convection Equations: Lie and Conditional Symmetry, Exact Solutions and Their Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) - Hardcover

Book 43 of 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Cherniha, Roman; Serov, Mykola; Pliukhin, Oleksii

 
9781498776172: Nonlinear Reaction-Diffusion-Convection Equations: Lie and Conditional Symmetry, Exact Solutions and Their Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Hardcover
ISBN 10: 1498776175 ISBN 13: 9781498776172
Publisher: Chapman and Hall/CRC, 2017

Synopsis

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.

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About the Author

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.

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
2017
Language
English
ISBN 10 
1498776175
ISBN 13 
9781498776172
Binding
Hardcover
Edition number
1
Number of pages
260