1st Edition
CRC Handbook of Lie Group Analysis of Differential Equations, Volume III
By Nail H. Ibragimov
Copyright 1995
552 Pages
by
CRC Press
552 Pages
by
CRC Press
Also available as eBook on:
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... Read more
Apparatus of Group Analysis
Lie-Bäcklund Symmetries: Representation by Formal Power Series
Approximate Transformation Groups
Differential Equations with Distributions: Group Theoretic Treatment of Fundamental Solutions
Recursions
Calculation of Symmetry Groups for Integro-Differential Equations
Body of Results
Group Theoretic Modeling
Generalized Hydrodynamic-Type Systems
Ordinary Differential Equations
Differential Equations with a Small Parameter: Exact and Approximate Symmetries
Differential Constraints
Non-Classical and Conditional Symmetries
Quasi-Exactly-Solvable Differential Equations
Computational Methods
Symbolic Software for Lie Symmetry Analysis
Interactive REDUCE Programs for Caculating Lie Point, Non-Classical, Lie-Bäcklund, and Approximate Symmetries of Differential Equations: Manual and Floppy Disk
Lie-Bäcklund Symmetries: Representation by Formal Power Series
Approximate Transformation Groups
Differential Equations with Distributions: Group Theoretic Treatment of Fundamental Solutions
Recursions
Calculation of Symmetry Groups for Integro-Differential Equations
Body of Results
Group Theoretic Modeling
Generalized Hydrodynamic-Type Systems
Ordinary Differential Equations
Differential Equations with a Small Parameter: Exact and Approximate Symmetries
Differential Constraints
Non-Classical and Conditional Symmetries
Quasi-Exactly-Solvable Differential Equations
Computational Methods
Symbolic Software for Lie Symmetry Analysis
Interactive REDUCE Programs for Caculating Lie Point, Non-Classical, Lie-Bäcklund, and Approximate Symmetries of Differential Equations: Manual and Floppy Disk
Biography
Ibragimov, Nail H.
"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
