Symmetries Of Partial Differential Equations


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Applications of Symmetry Methods to Partial Differential Equations


Applications of Symmetry Methods to Partial Differential Equations

Author: George W. Bluman

language: en

Publisher: Springer Science & Business Media

Release Date: 2009-10-30


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This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Symmetry Methods for Differential Equations


Symmetry Methods for Differential Equations

Author: Peter E. Hydon

language: en

Publisher: Cambridge University Press

Release Date: 2000-02-13


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A good working knowledge of symmetry methods is very valuable for those working with mathematical models. This book is a straightforward introduction to the subject for applied mathematicians, physicists, and engineers. The informal presentation uses many worked examples to illustrate the major symmetry methods. Written at a level suitable for postgraduates and advanced undergraduates, the text will enable readers to master the main techniques quickly and easily. The book contains some methods not previously published in a text, including those methods for obtaining discrete symmetries and integrating factors.

Symmetry Analysis of Differential Equations with Mathematica®


Symmetry Analysis of Differential Equations with Mathematica®

Author: Gerd Baumann

language: en

Publisher: Springer Science & Business Media

Release Date: 2000-04-20


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The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.