Applications of symmetry methods to partial differential equations / George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco
Type de document : Livre numériqueCollection : Applied mathematical sciences, 168Langue : anglais.Éditeur : New York : Springer, cop. 2010ISBN: 9780387986128.ISSN: 0066-5452.Sujet MSC : 35B06, Qualitative properties of solutions to partial differential equations, Symmetries, invariants, etc. in context of PDEs35A15, General topics in partial differential equations, Variational methods applied to PDEs
35A30, General topics in partial differential equations, Geometric theory, characteristics, transformations in context of PDEs
58J70, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Invariance and symmetry properties for PDEs on manifolds
70H33, Mechanics of particles and systems, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanicsEn-ligne : Springerlink | zbMath | MSN
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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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