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Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra.Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, 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. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
Apparatus of Group AnalysisLie-Bäcklund Symmetries: Representation by Formal Power SeriesApproximate Transformation GroupsDifferential Equations with Distributions: Group Theoretic Treatment of Fundamental SolutionsRecursionsCalculation of Symmetry Groups for Integro-Differential EquationsBody of ResultsGroup Theoretic ModelingGeneralized Hydrodynamic-Type SystemsOrdinary Differential EquationsDifferential Equations with a Small Parameter: Exact and Approximate SymmetriesDifferential ConstraintsNon-Classical and Conditional SymmetriesQuasi-Exactly-Solvable Differential EquationsComputational MethodsSymbolic Software for Lie Symmetry AnalysisInteractive REDUCE Programs for Caculating Lie Point, Non-Classical, Lie-Bäcklund, and Approximate Symmetries of Differential Equations: Manual and Floppy Disk
"This handbook is a welcome addition to the literature on the theory and applications of symmetries of differential equations...novel...insightful...valuable...a wealth of information."- Juha Pohjanpelto, Oregon State University, Corvallis
Nail H Ibragimov, Ranis N Ibragimov, Sweden) Ibragimov, Nail H (Blekinge Inst Technology, Usa) Ibragimov, Ranis N (New Mexico Inst Of Mining & Technology, Nail H. Ibragimov, Ranis N. Ibragimov, IBRAGIMOV NAIL H
Nail H Ibragimov, Ranis N Ibragimov, Sweden) Ibragimov, Nail H (Blekinge Inst Technology, Usa) Ibragimov, Ranis N (New Mexico Inst Of Mining & Technology, Nail H. Ibragimov, Ranis N. Ibragimov, IBRAGIMOV NAIL H