ON THE INITIAL-VALUE PROBLEM FOR THE MODIFIED BENJAMIN-ONO-EQUATION

Citation
G. Scoufis et Cm. Cosgrove, ON THE INITIAL-VALUE PROBLEM FOR THE MODIFIED BENJAMIN-ONO-EQUATION, Journal of mathematical physics, 36(10), 1995, pp. 5753-5759
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
36
Issue
10
Year of publication
1995
Pages
5753 - 5759
Database
ISI
SICI code
0022-2488(1995)36:10<5753:OTIPFT>2.0.ZU;2-6
Abstract
The initial value problem for the modified Benjamin-One equation is so lved by exploiting the Fokas-Ablowitz inverse scattering transform for a certain complex extension of the Benjamin-Ono equation. The asympto tics of the Jest functions for small (positive) values of the spectral parameter are sharpened and lead to a previously overlooked nongeneri c case. (C) 1995 American Institute of Physics.