ON A DIRECT BILINEARIZATION METHOD - KAUP HIGHER-ORDER WATER-WAVE EQUATION AS A MODIFIED NONLOCAL BOUSSINESQ EQUATION

Authors
LAMBERT F LORIS I SPRINGAEL J WILLOX R
Citation
F. Lambert et al., ON A DIRECT BILINEARIZATION METHOD - KAUP HIGHER-ORDER WATER-WAVE EQUATION AS A MODIFIED NONLOCAL BOUSSINESQ EQUATION, Journal of physics. A, mathematical and general, 27(15), 1994, pp. 5325-5334
Citations number
18
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
15
Year of publication
1994
Pages
5325 - 5334
Database
ISI
SICI code
0305-4470(1994)27:15<5325:OADBM->2.0.ZU;2-Z
Abstract
A systematic procedure for the bilinearization of classes of soliton e quations is developed with the help of a generalization of Bell's expo nential polynomials. Application of this procedure to Kaup's higher-or der wave equation discloses several links with other soliton systems. In particular, it is found that the Kaup equation is the modified vers ion of a sech square soliton system which constitutes an alternative t o the good Boussinesq equation.