Nail H. Ibragimov

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I (eBook, PDF)

Symmetries, Exact Solutions, and Conservation Laws

• Format: PDF

Produktbeschreibung

First book to provide an extensive compilation of the results of Sophus Lie and related modern results

Systematizes the relevant results of Lie and natural generalizations

Presents the group classification and characterization of differential equations

Tabulates Lie point and contact symmetries, Lie-Backlund

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 448
• Erscheinungstermin: 25. August 2023
• Englisch
• ISBN-13: 9781000941425
• Artikelnr.: 68692296

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.