Growing-and-decaying mode solution to the Davey-Stewartson equation

Authors
Tajiri, M Arai, T
Citation
M. Tajiri et T. Arai, Growing-and-decaying mode solution to the Davey-Stewartson equation, PHYS REV E, 60(2), 1999, pp. 2297-2305
Citations number
17
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
2
Year of publication
1999
Part
B
Pages
2297 - 2305
Database
ISI
SICI code
1063-651X(199908)60:2<2297:GMSTTD>2.0.ZU;2-O
Abstract
The growing-and-decaying mode solution to the Davey-Stewartson equation are presented, which describe the long time evolution of the Benjamin-Feir uns table mode in two dimensions. A solution consisting of a line soliton and a growing-and-decaying mode shows that the Benjamin-Feir unstable mode does not destroy the structure of the line soliton. The breather solution and ra tional growing-and-decaying mode solution are also presented. [S1063-651X(9 9)00708-4].