Nonlinear reaction-diffusion-convection equations : Lie and conditional symmetry, exact solutions, and their applications
著者
書誌事項
Nonlinear reaction-diffusion-convection equations : Lie and conditional symmetry, exact solutions, and their applications
（Monographs and research notes in mathematics）
CRC Press, c2018
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注記
Includes bibliographical references (p. 219-238) and index
内容説明・目次
内容説明
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.
目次
1. Introduction. 2. Lie symmetries of reaction-diffusion-convection equations. 3. Conditional symmetries of reaction-diffusion-convection equations. 4. Exact solutions of reaction-diffusion-convection equations. 5. Method additional generating conditions for constructing exact solutions. 6. Concluding remarks.
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