Heriot-Watt Mathematics Report Series
HWM00-12, 30 May 2000
Varieties of elliptic solitons
JC Eilbeck, VZ Enolskii and EP Previato
Abstract
We set out a method for giving explicit algebraic coordinates on
varieties of elliptic solitons, which consists of: finding the
spectral curve by elimination; and solving the Jacobi inversion
problem by the use of Kleinian functions and their identities. As an
example we solve a 5-particle Elliptic Calogero-Moser system whose
spectral curve turns out to be completely reducible over 3
equianharmonic elliptic curves.
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Publication
J C Eilbeck, V Z Enol'skii, E Previato
, Varieties of elliptic solitons, J Phys A, 34, 2215-2227, (2001).
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