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Applications of Lie groups to differential equations Peter J. Olver
Publisher: Springer-Verlag

Here, only a basic knowledge of algebra, calculus and ordinary differential equations is required. The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. Tags:The Structure of Complex Lie Groups, tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve. (1998), Partial Differential Equations, Providence: American Mathematical Society, ISBN 0821807722. Kričever, Algebraic curves and commuting matrix differential operators, Funkcional. Sokolov, Lie algebras and equations of Korteweg-de Vries type, Current problems in mathematics, Vol. In most real-life applications, the differential equations, which are used to model a certain situation, contain arbitrary functions of dependent variable or its derivatives and independent variables. The third part is more advanced and introduces into matrix Lie groups and Lie algebras the representation theory of groups, symplectic and Poisson geometry, and applications of complex analysis in surface theory. By way of application, we describe all possible envelops of meromorphy of local holomorphic solutions of the Boussinesq equation. Ibragimov, Nail H (1993), CRC Handbook of Lie Group Analysis of Differential Equations Vol. 24, Itogi Nauki i Graeme Segal and George Wilson, Loop groups and equations of KdV type, Inst. It includes a chapter dedicated to the applications of Lie group theory to solving differential equations. In particular, Chapter 5 contains short introductions to hyperbolic geometry and geometrical principles of special relativity theory.