Nail H Ibragimov

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

Symmetries, Exact Solutions, and Conservation Laws

• Gebundenes Buch

Produktbeschreibung

Presents an introduction to the modern group analysis. This work covers topics such as Lie-Backlund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages.

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Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 448
• Erscheinungstermin: 28. Juni 2018
• Englisch
• Abmessung: 234mm x 156mm x 25mm
• Gewicht: 798g
• ISBN-13: 9781138401983
• ISBN-10: 1138401986
• Artikelnr.: 53213001

Autorenporträt

Nail H. Ibragimov

Inhaltsangabe

APPARATUS OF GROUP ANALYSIS: Lie Theory of Differential Equations: One
Parameter Transformation Groups. Integration of Second-Order Ordinary
Differential Equations. Group Classification of Second-Order Ordinary
Differential Equations. Invariant Solutions. Generalizations: Lie-Bäcklund
Transformation Groups. Noether-Type Conservation Theorems. Non-Local
Symmetry Generators via Bäcklund Transformations. BODY OF RESULTS: Ordinary
Differential Equations. Second Order Partial Differential Equations with
Two Independent Variables. Evolution Equations I: Diffusion Equations.
Evolution Equations II: General Case. Wave Equations. Hydro- and Gas-
Dynamics. Hydrodynamic-Type Systems. Integrodifferential Equations.
COMPUTER ASPECTS: Applications of Group Theory in Computation. Symmetry of
Finite-Difference Equations. References. Indices.