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An algebraic model of graded calculus of variations

Published online by Cambridge University Press:  24 October 2008

B. A. Kupershmidt
B. A. Kupershmidt
Affiliation:
The University of Tennessee Space Institute, Tullahoma, TN 37388, U.S.A.
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Extract

The modern theory of integrable systems rests on two fundamental pillars: the classification of Lax [13] and zero-curvature equations [14, 1, 2]; and algebraic models of the classical calculus of variations [9,5] specialized to the residue calculus in modules of differential forms over rings of matrix pseudo-differential operators [9, 6]. Both these aspects of the theory are by now very well understood for integrable systems in one space dimension.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 1 , January 1987 , pp. 151 - 166
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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