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The Korteweg-de Vries model with boundary forcing

Camassa, R. and Wu, T. Yao-tsu (1989) The Korteweg-de Vries model with boundary forcing. Wave Motion, 11 (5). pp. 495-506. ISSN 0165-2125. https://resolver.caltech.edu/CaltechAUTHORS:20200306-133728309

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Abstract

The Korteweg-de Vries equation is considered in the semi-infinite real line with boundary condition at the origin. The numerical investigations of Chu et al. [2], are revisited and different new forms for the boundary forcing are assumed. In order to provide some qualitative description for the numerical simulations a simple model based on the IST formalism is developed. It is found that the model is also able to provide some quantitative predictions in agreement with the numerical results.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0165-2125(89)90022-xDOIArticle
Additional Information:© 1989 Published by Elsevier. Received 24 June 1988. This work was jointly sponsored by ONR Contract N00014-85-K-0356, NR 655-005, and NSF Grant MSM-8118429, A03. The authors are indebted to George Yates for helpful discussions. The numerical calculations were performed on the CRAY X-MP/48 at San Diego Supercomputer Center and at the National Center for Supercomputing Applications (operated by the National Science Foundation). Part of this work was presented as a contribution to the EUROMECH COLLOQUIUM 240, "Dispersive Waves in Dissipative Fluids", August 30-Sept. 2, 1988, Bologna, Italy, chaired by Professor F. Mainardi and Professor D. Crighton.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-85-K-0356
Office of Naval Research (ONR)NR 655-005
NSFMSM-8118429, A03
Issue or Number:5
Record Number:CaltechAUTHORS:20200306-133728309
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200306-133728309
Official Citation:R. Camassa, T. Yao-tsu Wu, The Korteweg-de Vries model with boundary forcing, Wave Motion, Volume 11, Issue 5, 1989, Pages 495-506, ISSN 0165-2125, https://doi.org/10.1016/0165-2125(89)90022-X.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101749
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Mar 2020 23:26
Last Modified:06 Mar 2020 23:26

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