CHIRAL NONLINEAR SCHRODINGER-EQUATION

Authors
NISHINO A UMENO Y WADATI M
Citation
A. Nishino et al., CHIRAL NONLINEAR SCHRODINGER-EQUATION, Chaos, solitons and fractals, 9(7), 1998, pp. 1063-1069
Citations number
7
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,Physics,"Physycs, Mathematical
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
9
Issue
7
Year of publication
1998
Pages
1063 - 1069
Database
ISI
SICI code
0960-0779(1998)9:7<1063:CNS>2.0.ZU;2-K
Abstract
A nonlinear evolution equation, i psi(t)+psi(xx)-i lambda(psipsi(x)-p si(x))psi = 0, which we name the chiral nonlinear Schrodinger (CNLS) equation is studied. The CNLS equation has two kinds of progressive wa ve solutions; bright soliton for lambda upsilon > 0 and dark soliton f or lambda upsilon < 0, where upsilon is the velocity of the envelop. T he bright soliton corresponds to the particle while the dark soliton i s interpreted as the hole. (C) 1998 Elsevier Science Ltd. All rights r eserved.