Applications of Symmetry Methods to Partial Differential Equations

• Main Authors: Bluman, George W. (Author), Cheviakov, Alexei F. (Author), Anco, Stephen C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Applied Mathematical Sciences, 168
• Subjects: Mathematics.; Topological Groups.; Global analysis (Mathematics).; Topological Groups, Lie Groups.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-68028-6

This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noethers theorem, local mappings, nonlocally related PDE systems,...

Table of Contents:

• Introduction
• Construction of Mappings Relating Differential Equations
• Nonlocally Related PDE Systems
• Applications of Nonlocally Related PDE Systems
• Further Applications of Symmetry Methods: Miscellaneous Extensions
• References
• Theorem, Corollary and Lemma Index
• Author Index
• Subject Index.