Stability of solitary waves for a nonlinearly dispersive equation
(2004) In Discrete and Continuous Dynamical Systems. Series A 10(3). p.709-717- Abstract
- Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solitary waves are peaked or smooth waves, depending on the wave speed. The stability of the smooth solitary waves also depends on the wave speed. Orbital stability is proved for some wave speeds, while instability is proved for others.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/293570
- author
- Kalisch, Henrik LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- nonlinear dispersion, solitary waves, orbital stability
- in
- Discrete and Continuous Dynamical Systems. Series A
- volume
- 10
- issue
- 3
- pages
- 709 - 717
- publisher
- American Institute of Mathematical Sciences
- external identifiers
-
- wos:000187071800008
- scopus:1042267877
- ISSN
- 1553-5231
- language
- English
- LU publication?
- yes
- id
- 5e830331-9fdb-49e4-bd0e-d9ddef6cfee2 (old id 293570)
- date added to LUP
- 2016-04-01 16:11:17
- date last changed
- 2022-04-15 02:43:35
@article{5e830331-9fdb-49e4-bd0e-d9ddef6cfee2, abstract = {{Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solitary waves are peaked or smooth waves, depending on the wave speed. The stability of the smooth solitary waves also depends on the wave speed. Orbital stability is proved for some wave speeds, while instability is proved for others.}}, author = {{Kalisch, Henrik}}, issn = {{1553-5231}}, keywords = {{nonlinear dispersion; solitary waves; orbital stability}}, language = {{eng}}, number = {{3}}, pages = {{709--717}}, publisher = {{American Institute of Mathematical Sciences}}, series = {{Discrete and Continuous Dynamical Systems. Series A}}, title = {{Stability of solitary waves for a nonlinearly dispersive equation}}, volume = {{10}}, year = {{2004}}, }