Nonlinear Reaction-Diffusion-Convection Equations

Lie and Conditional Symmetry, Exact Solutions and Their Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Nonlinear Reaction-Diffusion-Convection Equations by Roman Cherniha, Mykola Serov, Oleksii Pliukhin, CRC Press
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Author: Roman Cherniha, Mykola Serov, Oleksii Pliukhin ISBN: 9781351650878
Publisher: CRC Press Publication: November 2, 2017
Imprint: Chapman and Hall/CRC Language: English
Author: Roman Cherniha, Mykola Serov, Oleksii Pliukhin
ISBN: 9781351650878
Publisher: CRC Press
Publication: November 2, 2017
Imprint: Chapman and Hall/CRC
Language: English

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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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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