Guthart, Gary S. and Wu, T. Yao-tsu (1991) Observation of a Standing Kink Cross Wave Parametrically Excited. Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences, 434 (1891). pp. 435-440. ISSN 0962-8444. https://resolver.caltech.edu/CaltechAUTHORS:20141215-104632186
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Abstract
A layer of water in a cylindrical tank is known to be capable of sustaining standing solitary waves within a certain parametric domain when the tank is excited under vertical oscillation. A new mode of forced waves is discovered to exist in a different parametric domain for rectangular tanks with the wave sloshing across the short side of the tank and with its profile modulated by one or more hyperbolic-tangent, or kink-wave-like envelopes. A theoretical explanation for the kink wave properties is provided. Experiments were performed to confirm their existence.
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| Additional Information: | © 1991 Royal Society. Received 10 December 1990; accepted 16 January 1991. We are grateful to the referee and to Dr George T. Yates for valuable discussions on the general subject. This work was done with ONR Grant N00014-89-J1971 and NSF Grant 4DMS-890-1440 jointly sponsored by the NSF Applied Mathematics, Computational Mathematics and Fluid Dynamics/Hydraulics Programs. The numerical calculations were performed on the CRAY Y-MP at the San Diego Supercomputer Center (operated by the National Science Foundation). | ||||||
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| Issue or Number: | 1891 | ||||||
| Record Number: | CaltechAUTHORS:20141215-104632186 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141215-104632186 | ||||||
| Official Citation: | Observation of a Standing Kink Cross Wave Parametrically Excited Gary S. Guthart and T. Yao-Tsu Wu Proceedings: Mathematical and Physical Sciences, Vol. 434, No. 1891 (Aug. 8, 1991), pp. 435-440 Published by: The Royal Society Article Stable URL: http://www.jstor.org/stable/51840 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 52810 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 15 Dec 2014 20:30 | ||||||
| Last Modified: | 03 Oct 2019 07:44 |
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