Solitons from the Lagrangian perspective
(2007) In Discrete and Continuous Dynamical Systems. Series A 19(3). p.469-481- Abstract
- The soliton solution of the Korteweg-de Vries equation provides a good approximation to the shape of a solitary wave solution to the governing equations for water waves. However, the corresponding velocity field below the soliton is not an accurate approximation. We propose an approach that provides us with a better approximation. By describing the particle paths below the free surface, we show that the qualitative features of the entire flow in a solitary water wave is captured by our approximation of the velocity field.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/692711
- author
- Constantin, Adrian LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- particle trajectory, solitary wave, soliton
- in
- Discrete and Continuous Dynamical Systems. Series A
- volume
- 19
- issue
- 3
- pages
- 469 - 481
- publisher
- American Institute of Mathematical Sciences
- external identifiers
-
- wos:000248775000002
- scopus:37349047161
- ISSN
- 1553-5231
- language
- English
- LU publication?
- yes
- id
- ea94fcbc-2c9d-4c0a-8717-82617253fe2a (old id 692711)
- alternative location
- http://www.aimsciences.org/journals/doIpChk.jsp?paperID=2709&mode=full
- date added to LUP
- 2016-04-01 16:43:41
- date last changed
- 2022-01-28 21:44:53
@article{ea94fcbc-2c9d-4c0a-8717-82617253fe2a,
abstract = {{The soliton solution of the Korteweg-de Vries equation provides a good approximation to the shape of a solitary wave solution to the governing equations for water waves. However, the corresponding velocity field below the soliton is not an accurate approximation. We propose an approach that provides us with a better approximation. By describing the particle paths below the free surface, we show that the qualitative features of the entire flow in a solitary water wave is captured by our approximation of the velocity field.}},
author = {{Constantin, Adrian}},
issn = {{1553-5231}},
keywords = {{particle trajectory; solitary wave; soliton}},
language = {{eng}},
number = {{3}},
pages = {{469--481}},
publisher = {{American Institute of Mathematical Sciences}},
series = {{Discrete and Continuous Dynamical Systems. Series A}},
title = {{Solitons from the Lagrangian perspective}},
url = {{http://www.aimsciences.org/journals/doIpChk.jsp?paperID=2709&mode=full}},
volume = {{19}},
year = {{2007}},
}