American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1995; 294 pp; hardcover Volume: 167 ISBN10: 0821804286 ISBN13: 9780821804285 List Price: US$125 Member Price: US$100 Order Code: TRANS2/167
 This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations. One common feature in most of the presentations in this book is the systematic use of the geometry of jet spaces. Readership Researchers and graduate students interested in nonlinear differential equations, differential geometry, quantum groups, and their applications. Table of Contents  V. N. Chetverikov and A. G. Kudryavtsev  Modeling integrodifferential equations and a method for computing their symmetries and conservation laws
 J. Donin and D. Gurevich  Braiding of the Lie algebra \(sl(2)\)
 B. Enriquez, S. Khoroshkin, A. Radul, A. Rosly, and V. Rubtsov  PoissonLie aspects of classical \(W\)algebras
 N. G. Khor'kova and A. M. Verbovetsky  On symmetry subalgebras and conservation laws for the \(k\epsilon\) turbulence model and the NavierStokes equations
 P. H. M. Kersten and I. S. Krasil'shchik  Graded FrölicherNijenhuis brackets and the theory of recursion operators for super differential equations
 A. Kushner  Symplectic geometry of mixed type equations
 V. Lychagin  Homogeneous geometric structures and homogeneous differential equations
 A. Prástaro  Geometry of quantized super PDEs
 A. V. Samokhin  Symmetries of linear ordinary differential equations
 N. A. Shananin  Foliations of manifolds and weighting of derivatives
 V. E. Shemarulin  Higher symmetry algebra structures and local equivalences of EulerDarboux equations
 D. V. Tunitsky  Hyperbolicity and multivalued solutions of MongeAmpère equations
 L. Zilbergleit  Singularities of solutions of the MaxwellDirac equation
 L. Zilbergleit  Characteristic classes of MongeAmpère equations
