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. doi:10.1016/0165-2125(89)90022-x. 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 | ||||||||
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| 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. | ||||||||
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| Issue or Number: | 5 | ||||||||
| DOI: | 10.1016/0165-2125(89)90022-x | ||||||||
| 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: | 16 Nov 2021 18:05 |
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