Applications of Symmetry Methods to Partial Differential Equations
:
George Bluman, Alexei Cheviakov, Stephen Anco
:
Applications of Symmetry Methods to Partial Differential Equations
:
Springer-Verlag
:
9780387680286
:
1
:
CHF 132.90
:
:
Arithmetik, Algebra
:
English
:
398
:
Wasserzeichen/DRM
:
PC/MAC/eReader/Tablet
:
PDF
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.
Contents
6
Preface
10
Introduction
13
Chapter 1 Local Transformations and Conservation Laws
20
1.1 Introduction
20
1.2 Local Transformations
24
1.2.1 Point transformations
25
1.2.2 Contact transformations
27
1.2.3 Higher-order transformations
29
1.2.4 One-parameter higher-order transformations
29
1.2.5 Point symmetries
35
1.2.6 Contact and higher-order symmetries
39
1.2.7 Equivalence transformations and symmetry classification
40
1.2.8 Recursion operators for local symmetries
43
1.3 Conservation Laws
57
1.3.1 Local cons
