Nonlinear Reaction-Diffusion-Convection Equations —— Lie and Conditional Symmetry, Exact Solutions and Their Applications

----- 非线性反应 - 扩散 - 确信方程：谎言与条件对称、精确解决方案及其应用

ISBN: 9781498776172 出版年：2017 页码：261 Cherniha, Roman Serov, Mykola Pliukhin, Oleksii CRC Press

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.