LAME POTENTIALS AND THE STATIONARY (M)KDV HIERARCHY

Authors
GESZTESY F WEIKARD R
Citation
F. Gesztesy et R. Weikard, LAME POTENTIALS AND THE STATIONARY (M)KDV HIERARCHY, Mathematische Nachrichten, 176, 1995, pp. 73-91
Citations number
57
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
176
Year of publication
1995
Pages
73 - 91
Database
ISI
SICI code
0025-584X(1995)176:<73:LPATS(>2.0.ZU;2-F
Abstract
A new method of constructing elliptic finite-gap solutions of the stat ionary Korteweg-de Vries (KdV) hierarchy, based on a theorem due to PI CARD, is illustrated in the concrete case of the Lamt-Ince potentials -s(s + 1) P(z), s is an element of N (P(.)the elliptic Weierstrass fun ction). Analogous results are derived in the context of the stationary modified Korteweg-de Vries (mKdV) hierarchy for the first time.