Roman Cherniha,
Mykola (Department of Mathematics, National Technical University, Ukraine) Serov,
Mykola Serov,
Oleksii (Department of Mathematics, National Technical University, Ukraine) Pliukhin,
Oleksii Pliukhin
e.a.
Nonlinear Reaction-Diffusion-Convection Equations
Lie and Conditional Symmetry, Exact Solutions and Their Applications
Gebonden Engels 2017 1e druk 9781498776172Levertijd ongeveer 11 werkdagen
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Samenvatting
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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