ENG

Nonlinear Reaction-Diffusion-Convection: Lie and Conditional Symmetry: Exact Solutions and Their Applications

By Cherniha , Roman M. & Serov , Mykola & Pliukhin , Oleksii

Book information

Publisher
CRC Press
Year
2017
ISBN
9781498776196
LCC
QA377.C447 2018
Language
eng
Format
PDF
Filesize
3 MB (3108736 bytes)
Series
Monographs and Research Notes in Mathematics
Volume
0.0
Pages
\261
Time added
2024-05-25 07:57:12
NonlinearNonlinear Differential equationsPartial Differential EquationsReaction-diffusion equationsReaction-diffusion equations—Numerical solutionsSymmetry

Description

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. Cherniha is a promoter of open-access (OA) and Lie theory. Boussinesq mentioned on p. 1.

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