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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Cherniha, Roman. Nonlinear reaction-diffusion-convection equations. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2018] (DLC) 2017028035 (OCoLC)982654363 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Roman Cherniha; Mykola Serov; Oleksii Pliukhin |

ISBN: | 9781498776196 1498776191 |

OCLC Number: | 1011215639 |

Description: | 1 online resource (xix, 240 pages). |

Contents: | Introduction -- Lie symmetries of reaction-diffusion-convection equations -- Conditional symmetries of reaction-diffusion-convection equations -- Exact solutions of reaction-diffusion-convection equations and their applications -- The method of additional generating conditions for constructing exact solutions. |

Series Title: | Monographs and research notes in mathematics. |

Responsibility: | Roman Cherniha, Mykola Serov, Oleksii Pliukhin. |

### Abstract:

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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