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Applications of Symmetry Methods to Partial Differential Equations [recurso electrónico] / by George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco.

Por: Colaborador(es): Tipo de material: TextoTextoSeries Applied Mathematical Sciences ; 168Editor: New York, NY : Springer New York, 2010Descripción: XVIII, 398p. online resourceTipo de contenido:
  • text
Tipo de medio:
  • computer
Tipo de soporte:
  • recurso en línea
ISBN:
  • 9780387680286
  • 99780387680286
Tema(s): Formatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD:
  • 512.55 23
  • 512.482 23
Recursos en línea:
Contenidos:
Local Transformations and Conservation Laws -- Construction of Mappings Relating Differential Equations -- Nonlocally Related PDE Systems -- Applications of Nonlocally Related PDE Systems -- Further Applications of Symmetry Methods: Miscellaneous Extensions.
En: Springer eBooksResumen: 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.
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Item type Current library Collection Call number Status Date due Barcode
Libros electrónicos Libros electrónicos CICY Libro electrónico Libro electrónico 512.55 | 512.482 (Browse shelf(Opens below)) Available

Local Transformations and Conservation Laws -- Construction of Mappings Relating Differential Equations -- Nonlocally Related PDE Systems -- Applications of Nonlocally Related PDE Systems -- Further Applications of Symmetry Methods: Miscellaneous Extensions.

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.

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