A Unified Approach to Computation of Integrable Structures

We expose a unified computational approach to integrable structures (including recursion, Hamiltonian, and symplectic operators) based on geometrical theory of partial differential equations.

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Bibliographic Details
Published in:Acta applicandae mathematicae 2012-08, Vol.120 (1), p.199-218
Main Authors: Krasil’shchik, I. S., Verbovetsky, A. M., Vitolo, R.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Computation
Computational Mathematics and Numerical Analysis
Conservation laws
Differential equations
Exposure
Geometry
Independent variables
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Partial Differential Equations
Probability Theory and Stochastic Processes
Recursion
Recursion theory
Studies
Symmetry
Systems integration
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Description
Summary:We expose a unified computational approach to integrable structures (including recursion, Hamiltonian, and symplectic operators) based on geometrical theory of partial differential equations.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-012-9699-x