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Applications of Lie groups to differential equations by Peter J. Olver

Applications of Lie groups to differential equations Peter J. Olver ebook
ISBN: 0387962506, 9780387962504
Publisher: Springer-Verlag
Page: 640
Format: djvu

The book places the subject matter in its historical context with discussions of Galois groups, algebraic invariants, Lie groups and differential equations, presented at a level that is not the standard fare for students majoring in the Physical Sciences. If a Lie group G acts smoothly on a smooth manifold M , its Lie algebra acts by differential operators on the space C^{\infty}(M) of smooth functions, and these differential operators are the “infinitesimal generators” which give us conserved quantities for the evolution of a quantum system on M (in the case that G . The decomposition of Lie algebras, and functionality for the construction of a solvable Lie group from its Lie algebra. A sound mathematical basis is thereby provided for the study of special unitary groups and their applications to Particle Physics. Students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. 24, Itogi Nauki i Graeme Segal and George Wilson, Loop groups and equations of KdV type, Inst. Applications of Lie Groups to Difference Equations English | ISBN: 1420083090 | 2010 | 344 pages | PDF | 2,1 MB Applications of Lie Groups to Difference Equations English | ISBN: 14200830. Seniors and advanced Juniors who are majoring in the Physical Sciences or Mathematics. Book: Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications) Author: Vladimir Dorodnitsyn Pages: 344. By way of application, we describe all possible envelops of meromorphy of local holomorphic solutions of the Boussinesq equation. Format: PDF Language: English ISBN10: 1420083090. Kričever, Algebraic curves and commuting matrix differential operators, Funkcional. This differential equation at least formally admits the solution. Sokolov, Lie algebras and equations of Korteweg-de Vries type, Current problems in mathematics, Vol.