The interplay between differential geometry and differential equations
著者
書誌事項
The interplay between differential geometry and differential equations
（American Mathematical Society translations, Ser. 2,
American Mathematical Society, c1995
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Modeling integro-differential equations and a method for computing their symmetries and conservation laws by V. N. Chetverikov and A. G. Kudryavtsev Braiding of the Lie algebra $sl(2)$ by J. Donin and D. Gurevich Poisson-Lie aspects of classical $W$-algebras by B. Enriquez, S. Khoroshkin, A. Radul, A. Rosly, and V. Rubtsov On symmetry subalgebras and conservation laws for the $k-\epsilon$ turbulence model and the Navier-Stokes equations by N. G. Khorkova and A. M. Verbovetsky Graded Frolicher-Nijenhuis brackets and the theory of recursion operators for super differential equations by P. H. M. Kersten and I. S. Krasilshchik Symplectic geometry of mixed type equations by A. Kushner Homogeneous geometric structures and homogeneous differential equations by V. Lychagin Geometry of quantized super PDEs by A. Prastaro Symmetries of linear ordinary differential equations by A. V. Samokhin Foliations of manifolds and weighting of derivatives by N. A. Shananin Higher symmetry algebra structures and local equivalences of Euler-Darboux equations by V. E. Shemarulin Hyperbolicity and multivalued solutions of Monge-Ampere equations by D. V. Tunitsky Singularities of solutions of the Maxwell-Dirac equation by L. Zilbergleit Characteristic classes of Monge-Ampere equations by L. Zilbergleit.
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