Geometric and Algebraic Structures
in Differential Equations
Edited by:
P.H.M. Kersten,
Dept. of Applied Mathematics, University of Twente, Enschede, The
Netherlands I.S. Krasil'shchik,
Independent University of Moscow and Moscow Institute of Municipal
Economy, Russia
Special Issue of Acta Applicandae Mathematicae,
Volume 41, Issue 1/3, December 1995,
350 pages, ISSN: 0167-8019.
Table of Contents
The Cohomology of Invariant Variational Bicomplexes
Ian M. Anderson, Juha Pohjanpelto
pp. 3-19
The Use of Factors to Discover Potential Systems or Linearizations
George Bluman, Patrick Doran-Wu
pp. 21-43
A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations
V.N. Chetverikov, A.G. Kudryavtsev
pp. 45-56
Multiparameter Quantum Groups and Multiparameter R-Matrices
Michiel Hazewinkel
pp. 57-98
Infinite-Dimensional Flag Manifolds in Integrable Systems
G.F. Helminck, A.G. Helminck
pp. 99-121
Computation by Computer of Lie Superalgebra Homology and Cohomology
N. vd. Hijligenberg, G.F. Post
pp. 123-134
Conservation Laws and the Variational Bicomplex for Second-Order Scalar Hyperbolic Equations in the Plane
Ian M. Anderson, Niky Kamran
pp. 135-144
On the C-Spectral Sequence for Systems of Evolution Equations
N.G. Khor‘kova
pp. 145-152
Exact Gerstenhaber Algebras and Lie Bialgebroids
Y. Kosmann-Schwarzbach
pp. 153-165
Graded Differential Equations and Their Deformations: A Computational Theory for Recursion Operators
I.S. Krasil‘shchik, P.H.M. Kersten
pp. 167-191
Colour Calculus and Colour Quantizations
V. Lychagin
pp. 193-226
Spencer Cohomologies and Symmetry Groups
V. Lychagin, L. Zil‘Bergleit
pp. 227-245
On the Geometry of Soliton Equations
Franco Magri
pp. 247-270
Differential Invariants
Peter J. Olver
pp. 271-284
Spencer Sequence and Variational Sequence
J. F. Pommaret
pp. 285-296
Super Toda Lattices
E. D. van der Lende, H. G. J. Pijls
pp. 297-298
Decay of Conservation Laws and Their Generating Functions
Alexey V. Samokhin
pp. 299-309
Arbitrariness of the General Solution and Symmetries
Werner M. Seiler
pp. 311-322
Deformations of Nonassociative Algebras and Integrable Differential Equations
V. V. Sokolov, S. I. Svinolupov
pp. 323-339
Constraints of the KP Hierarchy and the Bilinear Method
Yi Cheng, You-Jin Zhang, Walter Strampp
pp. 341-348