THE KAUP-BROER SYSTEM AND TRILINEAR ODES OF PAINLEVE TYPE

Authors
STRAMPP W
Citation
W. Strampp, THE KAUP-BROER SYSTEM AND TRILINEAR ODES OF PAINLEVE TYPE, Journal of mathematical physics, 35(11), 1994, pp. 5850-5861
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
11
Year of publication
1994
Pages
5850 - 5861
Database
ISI
SICI code
0022-2488(1994)35:11<5850:TKSATO>2.0.ZU;2-U
Abstract
The Kaup-Broer hierarchy can be considered as a certain reduction of t he KP hierarchy. Upon introducing the tau-function the Kaup-Broer syst em can be formulated in trilinear form giving rise to Wronskian soluti ons. In this paper several odes of the Painleve type obtained through reductions of the Kaup-Broer system are considered. Those odes take a trilinear form which allows a linearization.