Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations
Groves, Mark D. ; Sun, Shu Ming and Wahlén, Erik LU
(2016)
In Comptes Rendus Mathématique
354(5).
p.486-492
- Abstract
We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit bright line soliton solution. The existence of a family of periodic solitons, which have the profile of the line soliton in the longitudinal spatial direction and are periodic in the transverse spatial direction, is established using dynamical systems arguments. We also show that the line soliton is linearly unstable with respect to perturbations in the transverse direction.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/917b1b5e-a9e4-423b-90f7-9f8f0b1cd3b9
- author
- Groves, Mark D.
; Sun, Shu Ming
and Wahlén, Erik
LU
- organization
- publishing date
- 2016-05-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Comptes Rendus Mathématique
- volume
- 354
- issue
- 5
- pages
- 7 pages
- publisher
- Academie des sciences
- external identifiers
-
- wos:000375114500009
- scopus:84961773634
- ISSN
- 1631-073X
- DOI
- 10.1016/j.crma.2016.02.005
- project
- Nonlinear Water Waves
- language
- English
- LU publication?
- yes
- id
- 917b1b5e-a9e4-423b-90f7-9f8f0b1cd3b9
- date added to LUP
- 2016-05-10 13:21:19
- date last changed
- 2025-01-12 02:11:55
@article{917b1b5e-a9e4-423b-90f7-9f8f0b1cd3b9,
abstract = {{<p>We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit bright line soliton solution. The existence of a family of periodic solitons, which have the profile of the line soliton in the longitudinal spatial direction and are periodic in the transverse spatial direction, is established using dynamical systems arguments. We also show that the line soliton is linearly unstable with respect to perturbations in the transverse direction.</p>}},
author = {{Groves, Mark D. and Sun, Shu Ming and Wahlén, Erik}},
issn = {{1631-073X}},
language = {{eng}},
month = {{05}},
number = {{5}},
pages = {{486--492}},
publisher = {{Academie des sciences}},
series = {{Comptes Rendus Mathématique}},
title = {{Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations}},
url = {{http://dx.doi.org/10.1016/j.crma.2016.02.005}},
doi = {{10.1016/j.crma.2016.02.005}},
volume = {{354}},
year = {{2016}},
}