Bright and singular solitons in the Boussinesq like equation

Citation
M. Aguero et R. Alvarado, Bright and singular solitons in the Boussinesq like equation, PHYS SCR, 62(4), 2000, pp. 232-237
Citations number
21
Categorie Soggetti
Physics
Journal title
PHYSICA SCRIPTA
ISSN journal
02811847 → ACNP
Volume
62
Issue
4
Year of publication
2000
Pages
232 - 237
Database
ISI
SICI code
0281-1847(200010)62:4<232:BASSIT>2.0.ZU;2-G
Abstract
We study a nonlinear equation of Boussinesq type that is a special version of the cubic - quintic nonlinear Schrodinger equation. It is shown that in addition to the bright or regular solitons, singular or dark travelling sol itons can also be obtained for this latter equation. In the nonresonant sec tor, the interaction of regular and singular solitons does not provide many body effects, they interchange their momentum and energy during time evolu tion without loss of energy. In the resonant sector, only bright solitons c ould collide inelastically to form so called virtual solitons.