Sinossi
The geometrical theory of nonlinear differential equations originates from classical works by S.
Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Introduction; P. Kersten, J. Krasil'shchik. The Cohomology of Invariant Variational Bicomplexes; I.M. Anderson, J. Pohjanpelto. The Use of Factors to Discover Potential Systems of Linearizations; G. Bluman, P. Doran-Wu. A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations; V.N. Chetverikov, A.G. Kudryavtsev. Multiparameter Quantum Groups and Multiparameter R-Matrices; M. Hazewinkel. Infinite-Dimensional Flag Manifolds in Integrable Systems; G.F. Helminck, A.G. Helminck. Computation by Computer of Lie Superalgebra Homology and Cohomology; N. v.d. Hijligenberg, G.F. Post. Conservation Laws and the Variational Bicomplex for Second-Order Scalar Hyperbolic Equations in the Plane; I.M. Anderson, N. Kamran. On the C-Spectral Sequence for Systems of Evolution Equations; N.G. Khor'kova. Exact Gerstenhaber Algebras and Lie Bialgebroids; Y. Kosmann-Schwarzbach. Graded Differential Equations and their Deformations: A Computational Theory for Recursion Operators; I.S. Krasil'shchik, P.H.M. Kersten. Colour Calculus and Colour Quantizations; V. Lychagin. Spencer Cohomologies and Symmetry Groups; V. Lychagin, L. Zilbergleit. On the Geometry of Soliton Equations; F. Magri. Differential Invariants; P.J. Olver. Spencer Sequence and Variational Sequence; J.F. Pommaret. Super Toda Lattices; E.D. van der Lende, H.G.J. Pijls. Decay of Conservation Laws and their Generating Functions; A.V. Samokhin. Arbitrariness of the General Solution and Symmetries; W.M. Seiler. Deformations of Nonassociative Algebras and Integrable Differential Equations; V.V. Sokolov, S.I. Svinolupov. Constraints of the KP Hierarchy and the Bilinear Method; Yi Cheng, et al.
Product Description
Book by None
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
