| Instability of Two Interacting Quasi-Monochromatic Waves in Shallow Water |
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| 作者姓名： | 汤叔楩 韦立新 徐援 |
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| 作者单位： | School of Sciences Hebei University of Science and Technology，The Survey Bureau of Hydrology and Water Resaurces of Lower Reaches of Changjiang River，CWRC，Collage of Sciences，Hohai University，Shijiazhuang 050018，China，Nanjing 210011，China，Nanjing 210098，China |
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| 摘 要： | The nonlinear interactions of waves with a double-peaked power spectrum have been studied in shallow water.The starting point is the prototypical equation for nonlinear unidirectional waves in shallow water,i.e.the Korteweg de Vries equation.By means of a multiple-scale technique two defocusing coupled Nonlinear Schrdinger equations are derived.It is found analytically that plane wave solutions of such a system are unstable for small perturbations,showing that the existence of a new energy exchange mechanism which can influence the behavior of ocean waves in shallow water.
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| 关 键 词： | coupled nonlinear Schrdinger equation |
| 修稿时间： | 2006-11-06 |
Instability of Two Interacting Quasi-Monochromatic Waves in Shallow Water |
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| TANG Shu-pian,WEI Li-xin,XU Yuan.Instability of Two Interacting Quasi-Monochromatic Waves in Shallow Water[J].China Ocean Engineering,2007,21(3):451-460. |
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| Authors: | TANG Shu-pian WEI Li-xin XU Yuan |
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| Institution: | 1.School of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China ;2. The Survey Bureau of Hydrology and Water Resaurces of Lower Reaches of Changjiang River, CWR C , Nanjing 210011, China ;3. Collage of Sciences, Hohai University, Nanjing 210098, China |
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| Abstract: | The nonlinear interactions of waves with a double-peaked power spectrum have been studied in shallow water. The starting point is the prototypical equation for nonlinear unidirectional waves in shallow water, i.e. the Korteweg de Vries equation. By means of a multiple-scale technique two defocusing coupled Nonlinear SchrCMinger equations are derived. It is found analytically that plane wave solutions of such a system are unstable for small perturbations, showing that the existence of a new energy exchange mechanism which can influence the behavior of ocean waves in shallow water. |
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| Keywords: | instability ocean wave Korteweg de Vries equation plane wave solution |
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