DISPERSIONFUL ANALOGS OF BENNEYS EQUATIONS AND N-WAVE SYSTEMS

Authors
ENRIQUEZ B ORLOV AY RUBTSOV VN
Citation
B. Enriquez et al., DISPERSIONFUL ANALOGS OF BENNEYS EQUATIONS AND N-WAVE SYSTEMS, Inverse problems, 12(3), 1996, pp. 241-250
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
12
Issue
3
Year of publication
1996
Pages
241 - 250
Database
ISI
SICI code
0266-5611(1996)12:3<241:DAOBEA>2.0.ZU;2-A
Abstract
We recall Krichever's construction of additional flows to Benney's hie rarchy, attached to poles at finite distance of the Lax operator. Then we construct a 'dispersionful' analogue of this hierarchy, in which t he role of poles at finite distance is played by Miura fields. We conn ect this hierarchy with N-wave systems, and prove several facts about the latter (Lax representation, Chern-Simons-type Lagrangian, connecti on with Liouville equation, tau-functions).