Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 1886-1900
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
It is proved that the algebra of the KdV-invariant polynomial functionals on the space of C∞ functions on the one-dimensional torus is isomorphic to the polynomial algebra of the infinite number of the conserved quantities found by Miura, Gardner, and Kruskal [J. Math. Phys. 9, 1204 (1968)]. As a corollary, it is shown that the algebra of the isospectral polynomial functionals of the Hill's operator also coincides with this algebra.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527452
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