ON THE DROMION SOLUTIONS OF A (2-DIMENSIONAL KDV-TYPE EQUATION(1))

Authors
Citation
Sy. Lou, ON THE DROMION SOLUTIONS OF A (2-DIMENSIONAL KDV-TYPE EQUATION(1)), Communications in Theoretical Physics, 26(4), 1996, pp. 487-490
Citations number
16
Categorie Soggetti
Physics
ISSN journal
02536102
Volume
26
Issue
4
Year of publication
1996
Pages
487 - 490
Database
ISI
SICI code
0253-6102(1996)26:4<487:OTDSOA>2.0.ZU;2-Q
Abstract
A general curve soliton which is finite on a curved line and localized apart from the curve for a (2+1)-dimensional KdV-type equation is fou nd. For the KdV-type equation, we find that the dromion solutions can be obtained not only by two perpendicular line solitons, two nonperpen dicular (with one is parallel to x-axis) line solitons, but also by on e line soliton and one curve soliton. Various types of multi-dromion s olutions which are constituted by n straight line solitons parallel to the cc axis and one curve soliton can be cast in a simple formula wit h two arbitrary functions. The KdV-type equation is not integrable bec ause it cannot pass through the three nonparallel line soliton test.