Nonlinear Reaction-diffusion-convection: Lie and Conditional Symmetry, Exact Solutions, and Their Applications - Couverture rigide

Livre 43 sur 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Cherniha, Roman; Serov, Mykola; Pliukhin, Oleksii

 
9781498776172: Nonlinear Reaction-diffusion-convection: Lie and Conditional Symmetry, Exact Solutions, and Their Applications
Couverture rigide
ISBN 10 : 1498776175 ISBN 13 : 9781498776172
Editeur : Chapman & 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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À propos de l?auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman & Hall/CRC
Date d'édition
2017
Langue
anglais
ISBN 10 
1498776175
ISBN 13 
9781498776172
Reliure
Relié
Nombre de pages
240
Coordonnées du fabricant
non disponible
Personne responsable
non disponible