Applications of symmetry methods to partial differential equations

This is an accessible book on the advanced symmetry methods for differential equations. Subjects such 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 will be included. Graduate students and researchers in mathematics and physics will find this book useful. INDICE: 1 Introductory chapter where basic ideas are introduced in an elementary way as motivation for later chapters including summary of relevant material from Symmetry Methods of Differential Equations.- 2 Conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, new work of Anco/Bluman introducing new conservation law formula.- 3 Mappings with some modification.- 4 Potential symmetries, nonlocal symmetries, nonlocal mappings. 5 Non-classical methods.

• ISBN: 978-0-387-98612-8
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 335
• Fecha Publicación: 01/12/2009
• Nº Volúmenes: 1
• Idioma: Inglés