Existence of periodic traveling wave solutions for the Ostrovsky equation |
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| Authors: | Naoyuki Ishimura Tetsu Mizumachi |
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| Affiliation: | 1. Department of Mathematics, Graduate School of Economics, Hitotsubashi University, Kunitachi, Tokyo 186‐8601, Japan;2. Graduate School of Mathematical Sciences, Kyushu University, Hakozaki, Fukuoka 812‐8581, Japan |
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| Abstract: | We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | Ostrovsky equation periodic traveling wave variational methods |
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