Symmetries and differential equations / G. W. Bluman, S. Kumei
Type de document : Livre numériqueCollection : Applied mathematical sciences, 81Langue : anglais.Éditeur : Berlin : Springer, 1989ISBN: 0387969969.ISSN: 0066-5452.Sujet MSC : 34C20, Qualitative theory for ordinary differential equations, Transformation and reduction, normal forms34A05, General theory for ordinary differential equations, Explicit solutions, first integrals of ordinary differential equations
58J72, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Correspondences and other transformation methods
34A45, General theory for ordinary differential equations, Theoretical approximation of solutions to ordinary differential equationsEn-ligne : Numir | Springerlink
This book is aimed, first of all, at applied mathematicians, physicists and engineers. The authors treat Lie groups of transformations with an emphasis on solving ordinary and partial differential equations. The idea is that if a symmetry can be discovered in a differential equation then, usually, it makes the construction of a solution easier. The text is richly illustrated with examples and exercises. Many of these are related to the wave equation, to the nonlinear heat conduction equation, and to boundary value problems in general. The book is an important contribution to the manipulative theory of differential equations both ordinary and partial, aimed at the construction of solutions. (Zentralblatt)
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