دانلود کتاب The Interplay between Differential Geometry and Differential Equations

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Contents Foreword • V. LYCHAGIN Modeling Integro-Differential Equations and a Method for Computing their Symmetries and Conservation Laws • V. N. CHETVERIKOV and A. G. KUDRYAVTSEV Braiding of the Lie Algebra si (2) • J. DONIN and D. GUREVICH Poisson-Lie Aspects of Classical W-Algebras • B. ENRIQUEZ, S. KHOROSHKIN, A. RADUL, A. ROSLY, and V. RUBTSOV On Symmetry Subalgebras and Conservation Laws for the κ — ε Turbulence Model and the Navier-Stokes Equations • N. G. KHOR'KOVA and A. M. VERBOVETSKY Graded Frölicher-Nijenhuis Brackets and the Theory of Recursion Operators for Super Differential Equations • R H. M. KERSTEN and I. S. KRASIL’SHCHIK Symplectic Geometry of Mixed Type Equations • A. KUSHNER Homogeneous Geometric Structures and Homogeneous Differential Equations • V. LYCHAGIN Geometry of Quantized Super PDE’s • AGOSTINO PRASTARO Symmetries of Linear Ordinary Differential Equations • ALEXEY V. SAMOKHIN Foliations of Manifolds and Weighting of Derivatives • N. A. SHANANIN Higher Symmetry Algebra Structures and Local Equivalences of Euler-Darboux Equations • VALERY E. SHEMARULIN Hyperbolicity and Multivalued Solutions of Monge-Ampère Equations • D. V. TUNITSKY Singularities of Solutions of the Maxwell-Dirac Equation • L. ZILBERGLEIT Characteristic Classes of Monge-Ampère Equations • L. ZILBERGLEIT