| 摘要: |
| 采用带有外界强迫效应的浅水动力学模式研究非线性波动，获得了依赖于外界输入形式的驱动水波的行波解。研究结果表明，驱动水波仍具有非线性波动的一般性质，而当外界强迫波速与水波固有速度一致时，水波出现共振效应。并且外界强迫孤立子将导致驱动水波孤立子产生。 |
| 关键词: 驱动 非线性浅水波 孤立波 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金资助项目，49476276号;中国科学院九五重点项目，KZ952－S1－420号 |
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| TRAVELING WAVE CHARACTERISTIC STUDY OF DRIVEN NONLINEAR SHALLOW WATER WAVE |
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HOU Yi-jun1, YIN Bao-shu1, XIE Qiang1, YANG Lian-gui1, ZHENG Quan-an2
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1.Institute of Oceanology, The Chinese Academy of Sciences, Qingdao, 266071;2.The University of Delaware, USA, Newark
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| Abstract: |
| Adopting a shallow water dynamical model with external forcing effects to study nonlinear water waves, a traveling wave solution of driven water wave depending on external input form has been found. The results demonstrate that if the external wave speed is larger than the internal one of water waves, then phase tardiness for driven water wave will happen; if the two approach similarity, the resonance effect will occur. Analogous to stokes, cnoidal waves and so on, then the driven water wave still maintains its nonlinear properties with regard to wave crest steepness, wave trough flatness and expansion of double frequency waves. If the external force is a solitary wave, then the driven water wave also has the form of a solitary wave. In particular, if the external wave speed is larger than the internal one of the water wave, and the input is compression doliton, then output is expansion soliton; in the same way, if the input is expansion soliton, then output is compression soliton. |
| Key words: Driven, Nonlinear shallow water wave, Solitary wave |
