Applications of symmetry methods to partial differential equations / George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco

Auteur: Bluman, George W. (1943-) - AuteurCo-auteur: Cheviakov, Alexei F. (1977-) - Auteur ; Anco, Stephen C. - AuteurType de document: Livre numériqueCollection: Applied mathematical sciences ; 168Langue: anglaisÉditeur: New York : Springer, cop. 2010 ISBN: 9780387986128 Note: Publisher’s description: 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. Sujets MSC: 35B06 Partial differential equations -- Qualitative properties of solutions -- Symmetries, invariants, etc
58J70 Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Invariance and symmetry properties
35A15 Partial differential equations -- General topics -- Variational methods
35A30 Partial differential equations -- General topics -- Geometric theory, characteristics, transformations
70H33 Mechanics of particles and systems -- Hamiltonian and Lagrangian mechanics -- Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction
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Publisher’s description: 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.

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