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Nonlinear Reaction-Diffusion-Convection Equations : Lie and Conditional Symmetry, Exact Solutions and Their Applications.
・ISBN 978-1-4987-7617-2 hard GB£ 187.99
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-315-15484-8
| 著者・編者 | Cherniha, Roman / Serov, Mykola / Pliukhin, Oleksii, |
|---|---|
| シリーズ | Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| 出版社 | (Chapman & Hall/CRC, US) |
| 出版年月 | 2017 |
| ページ数 | 260 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-12365> |
解説
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.