ON THE TODA AND KAC-VANMOERBEKE SYSTEMS

Authors
GESZTESY F HOLDEN H SIMON B ZHAO Z
Citation
F. Gesztesy et al., ON THE TODA AND KAC-VANMOERBEKE SYSTEMS, Transactions of the American Mathematical Society, 339(2), 1993, pp. 849-868
Citations number
32
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
339
Issue
2
Year of publication
1993
Pages
849 - 868
Database
ISI
SICI code
0002-9947(1993)339:2<849:OTTAKS>2.0.ZU;2-6
Abstract
Given a solution of the Toda lattice we explicitly construct a solutio n of the Kac-van Moerbeke system related to each other by a Miura-type transformation. As an illustration of our method we derive the N-soli ton solutions of the Kac-van Moerbeke lattice.