Coalescence of ripplons, breathers, dromions and dark solitons

Authors
Citation
Dwc. Lai et Kw. Chow, Coalescence of ripplons, breathers, dromions and dark solitons, J PHYS JPN, 70(3), 2001, pp. 666-677
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
70
Issue
3
Year of publication
2001
Pages
666 - 677
Database
ISI
SICI code
0031-9015(200103)70:3<666:CORBDA>2.0.ZU;2-S
Abstract
New solutions of several nonlinear evolution equations (NEEs) are obtained by a special limit corresponding to a coalescence or merger of wavenumbers. This technique will yield the multiple pole solutions of NEEs if ordinary solitons are involved. This limiting process will now be applied through th e Hirota bilinear transform to other novel solutions of NEEs. For ripplons (self similar explode-decay solutions) such merger yields interacting self similar solitary waves. For breathers (pulsating waves) this coalescence gi ves rise to a pair of counterpropagating breathers. For dromions (exponenti ally decaying solutions in all spatial directions) this merger might genera te additional localized structures. For dark solitons such coalescence can lead to a pair of anti-dark (localized elevation solitary waves on a contin uous wave background) and dark solitons.