Nonlinear Reaction-Diffusion-Conviction Equations : Lie and Conditional Symmetry, Exact Solutions and their Applications / Roman Cherniha.
Cherniha, Roman| Author | Cherniha, Roman, author. |
| Title | Nonlinear Reaction-Diffusion-Conviction Equations : Lie and Conditional Symmetry, Exact Solutions and their Applications / Roman Cherniha. |
| Edition | First edition. |
| Physical Description | 1 online resource (256 pages) |
| Series | Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| Contents | chapter 1 Introduction -- chapter 2 Lie symmetries of reaction-diffusion-convection equations -- chapter 3 Conditional symmetries of reaction-diffusion-convection equations -- chapter 4 Exact solutions of reaction-diffusion-convection equations and their applications -- chapter 5 The method of additional generating conditions for constructing exact solutions. |
| Summary | "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."--Provided by publisher. |
| Added Author | Pliukhin, Oleksii Serov, Mykola |
| Subject | Reaction-diffusion equations Numerical solutions. Symmetry (Mathematics). DIFFERENTIAL EQUATIONS, NONLINEAR. DIFFERENTIAL EQUATIONS, PARTIAL. Reaction-diffusion equations. Applied Mathematics Differential Equations MATHEMATICS / Differential Equations |
| Multimedia |
Total Ratings:
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$a Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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$a chapter 1 Introduction -- chapter 2 Lie symmetries of reaction-diffusion-convection equations -- chapter 3 Conditional symmetries of reaction-diffusion-convection equations -- chapter 4 Exact solutions of reaction-diffusion-convection equations and their applications -- chapter 5 The method of additional generating conditions for constructing exact solutions.
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$a "It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors."--Provided by publisher.
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$a Reaction-diffusion equations $x Numerical solutions.
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$a DIFFERENTIAL EQUATIONS, PARTIAL.
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$a Reaction-diffusion equations.
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| Summary | "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."--Provided by publisher. |
| Contents | chapter 1 Introduction -- chapter 2 Lie symmetries of reaction-diffusion-convection equations -- chapter 3 Conditional symmetries of reaction-diffusion-convection equations -- chapter 4 Exact solutions of reaction-diffusion-convection equations and their applications -- chapter 5 The method of additional generating conditions for constructing exact solutions. |
| Subject | Reaction-diffusion equations Numerical solutions. Symmetry (Mathematics). DIFFERENTIAL EQUATIONS, NONLINEAR. DIFFERENTIAL EQUATIONS, PARTIAL. Reaction-diffusion equations. Applied Mathematics Differential Equations MATHEMATICS / Differential Equations |
| Multimedia |