ASYMPTOTIC INTEGRABILITY OF WATER-WAVES

Authors
FOKAS AS LIU QM
Citation
As. Fokas et Qm. Liu, ASYMPTOTIC INTEGRABILITY OF WATER-WAVES, Physical review letters, 77(12), 1996, pp. 2347-2351
Citations number
17
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
77
Issue
12
Year of publication
1996
Pages
2347 - 2351
Database
ISI
SICI code
0031-9007(1996)77:12<2347:AIOW>2.0.ZU;2-H
Abstract
The asymptotic integrability of the idealized water waves is formally established. Namely, it is shown that in the small amplitude, long wav e limit there exists an explicit transformation which maps these equat ions to a system of two integrable equations. It is also shown that th e concepts of master symmetries and of bi-Hamiltonian structures can b e used to obtain similar results for other physical systems.