Applications of symmetry methods to partial differential equations

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," Noether s theorem, local mappings, nonlocally related PDE systems,...

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Główni autorzy: Bluman, George W., 1943-, Cheviakov, Alexei F., 1977- (Autor), Anco, Stephen C., 19..- (Autor)
Format: Livre numérique
Język:Anglais
Wydane: New York, NY : Springer New York 2010.
Cham : Springer Nature
Seria:Applied Mathematical Sciences 168
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Edition sous un autre format:• Human pathogenic papillomaviruses, ed. H. zur Hausen, 1994, Berlin, Springer-Verlag, 1 vol. (XII-274 p.), Current topics in microbiology and immunology, 3-540-57193-0
• Applications of symmetry methods to partial differential equations, George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco, 2010, New York, Springer, 1 vol. (XIX-398 p.), Applied mathematical sciences, 978-0-387-98612-8
• Applications of symmetry methods to partial differential equations, George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco, 2010, New York, Springer, 1 vol. (XIX-398 p.), Applied mathematical sciences, 978-0-387-98612-8
Opis
Streszczenie: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," Noether s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. This book is a sequel to Symmetry and Integration Methods for Differential Equations (2002) by George W. Bluman and Stephen C. Anco. The emphasis in the present book is on how to find systematically symmetries (local and nonlocal) and conservation laws (local and nonlocal) of a given PDE system and how to use systematically symmetries and conservation laws for related applications.
Deskrypcja:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9780387680286
ISSN:2196-968X
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