Symmetry Methods For Differential Equations
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Symmetry Methods for Differential Equations
Author: Peter E. Hydon
language: en
Publisher: Cambridge University Press
Release Date: 2000-02-13
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.
Applications of Symmetry Methods to Partial Differential Equations
Author: George W. Bluman
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-10-30
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 and Integration Methods for Differential Equations
Author: George Bluman
language: en
Publisher: Springer Science & Business Media
Release Date: 2002-07-10
This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.