Geometric and Algebraic Structures in Differential Equations
The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1995, 1995
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| Edition: | 1st ed. 1995 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- The Cohomology of Invariant Variational Bicomplexes
- The Use of Factors to Discover Potential Systems of Linearizations
- A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations
- Multiparameter Quantum Groups and Multiparameter R-Matrices
- Infinite-Dimensional Flag Manifolds in Integrable Systems
- Computation by Computer of Lie Superalgebra Homology and Cohomology
- Conservation Laws and the Variational Bicomplex for Second-Order Scalar Hyperbolic Equations in the Plane
- On the C ’-Spectral Sequence for Systems of Evolution Equations
- Exact Gerstenhaber Algebras and Lie Bialgebroids
- Graded Differential Equations and Their Deformations: A Computational Theory for Recursion Operators
- Colour Calculus and Colour Quantizations
- Spencer Cohomologies and Symmetry Groups
- On the Geometry of Soliton Equations
- Differential Invariants
- Spencer Sequence and Variational Sequence
- Super Toda Lattices
- Decay of Conservation Laws and Their Generating Functions
- Arbitrariness of the General Solution and Symmetries
- Deformations of Nonassociative Algebras and Integrable Differential Equations
- Constraints of the KP Hierarchy and the Bilinear Method