Termination of Bergman series. Connection to the B-n Toda system

Authors
Nimmo, JJC Schief, WK Rogers, C
Citation
Jjc. Nimmo et al., Termination of Bergman series. Connection to the B-n Toda system, J ENG MATH, 36(1), 1999, pp. 137-148
Citations number
29
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF ENGINEERING MATHEMATICS
ISSN journal
00220833 → ACNP
Volume
36
Issue
1
Year of publication
1999
Pages
137 - 148
Database
ISI
SICI code
0022-0833(199908)36:1<137:TOBSCT>2.0.ZU;2-S
Abstract
Truncation of Bergman-type series applied to a canonical hyperbolic equatio n is shown to lead to the integrable B-n Toda lattice. In particular, the r ecurrence relations for the truncated Bergman series are implied by the lin ear representation for the Toda system. To conclude, the action of the Mout ard transformation on Bergman series is investigated.