Titlebook: Applications of Lie Groups to Differential Equations; Peter J. Olver Textbook 1993Latest edition Springer-Verlag New York, Inc. 1993 CON_D

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Die Begriffe ?Linie“ und ?Fl?che“s of conservation of energy, conservation of momentum and so on, plays an important role in the analysis of basic properties of the solutions. In 1918, Emmy Noether proved the remarkable result that for systems arising from a variational principle, every conservation law of the system comes from a c

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Die Begriffe ?Linie“ und ?Fl?che“ing motion of rigid bodies, celestial mechanics, quantization theory and so on. More recently, Hamiltonian methods have become increasingly important in the study of the equations of continuum mechanics, including fluids, plasmas and elastic media. In this book, we are concerned with just one aspect

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Nichtlineare DifferentialgleichungenConsequently, smooth solutions will satisfy the Euler-Lagrange equations for the relevant functional and one can employ the group-theoretic methods in the Lagrangian framework discussed in Chapters 4 and 5. However, when presented with the full dynamical problem, one encounters systems of evolution

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978-0-387-95000-6Springer-Verlag New York, Inc. 1993

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