ON A CLASS OF ELLIPTIC POTENTIALS OF THE DIRAC OPERATOR

Authors
SMIRNOV AO
Citation
Ao. Smirnov, ON A CLASS OF ELLIPTIC POTENTIALS OF THE DIRAC OPERATOR, Sbornik. Mathematics, 188(1-2), 1997, pp. 115-135
Citations number
39
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
188
Issue
1-2
Year of publication
1997
Pages
115 - 135
Database
ISI
SICI code
1064-5616(1997)188:1-2<115:OACOEP>2.0.ZU;2-I
Abstract
We show that there exists a class of finite-gap potentials of the Dira c operator and finite-gap solutions of the 'decomposed' non-linear Sch rodinger equation which are single-valued meromorphic functions of x. It is also shown that the evolution of the poles x(j)(t) of these elli ptic solutions satisfies the dynamics of the Calogero-Moser system. Bi bliography: 38 titles.