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Nonlinear reaction-diffusion-convection : lie and conditional symmetry, exact solutions and their applications

Author: Roman Cherniha; Mykola Serov; Oleksii Pliukhin
Publisher: Boca Raton : CRC Press, [2018] ©2018
Series: Monographs and research notes in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Cherniha, Roman.
Nonlinear reaction-diffusion-convection equations.
Boca Raton, FL : CRC Press, Taylor & Francis Group, [2018]
(DLC) 2017028035
(OCoLC)982654363
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Roman Cherniha; Mykola Serov; Oleksii Pliukhin
ISBN: 9781498776196 1498776191
OCLC Number: 1011215639
Description: 1 online resource (xix, 240 pages).
Contents: Introduction --
Lie symmetries of reaction-diffusion-convection equations --
Conditional symmetries of reaction-diffusion-convection equations --
Exact solutions of reaction-diffusion-convection equations and their applications --
The method of additional generating conditions for constructing exact solutions.
Series Title: Monographs and research notes in mathematics.
Responsibility: Roman Cherniha, Mykola Serov, Oleksii Pliukhin.

Abstract:

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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