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| Tailing wavetrain generation in precursor soliton generation in single-layer flow | |
| 作者姓名： | XU Zhaoting XU Hao Samuel Shan-pu SHEN |
| 作者单位： | Institute of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of Qingdao, 266003, China; Key Laboratory of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao 266003, China,Institute of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of Qingdao, 266003, China; Key Laboratory of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao 266003, China,Department of Mathematical Sciences, University of Alberta, Edmonton T6G 2G1, Alberta, Canada |
| 摘 要： | A theory of tailing wavetrain generation in the precursor soliton generation in single-layer flow is presented in terms of Whitham s averaged method in the present paper. The group characters of the tailing wavetrain generation are represented by the evolution equations of roots of a cubic algebraic equation resulting from the fKdV equation in the single-layer flow without source term. Based on the evolution equations, the group velocity of the tailing wavetrain is found theoretically, furthermore a theoretical solution of the tailing wavetrain generation is found in terms of the evolution equations. To examine the theoretical results, a numerical calculation of fKdV equation in single-layer flow is carried out in the laboratory frame, at the same time a comparison is also done. The comparison between theoretical and numerical results shows they are in good agreement. |
| 关 键 词： | tailing wavetrain precursor soliton single-layer flow. |
Tailing wavetrain generation in precursor soliton generation in single-layer flow |
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| XU Zhaoting,XU Hao,Samuel Shan-pu SHEN.Tailing wavetrain generation in precursor soliton generation in single-layer flow[J].Progress in Natural Science,2000,10(5):350-356. | |
| Authors: | Xu Zhaoting XU Hao Samuel Shan-pu SHEN |
| Institution: | 1. Institute of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of Qingdao, 266003,China 2. Key Laboratory of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao 266003, China 3. Department of Mathematical Sciences, University of Alberta, Edmonton T6G 2Gl, Alberta, Canada |
| Abstract: | A theory of tailing wavetrain generation in the precursor soliton generation in single-layer flow is presented in terms of Whitham s averaged method in the present paper. The group characters of the tailing wavetrain generation are represented by the evolution equations of roots of a cubic algebraic equation resulting from the fKdV equation in the single-layer flow without source term. Based on the evolution equations, the group velocity of the tailing wavetrain is found theoretically, furthermore a theoretical solution of the tailing wavetrain generation is found in terms of the evolution equations. To examine the theoretical results, a numerical calculation of fKdV equation in single-layer flow is carried out in the laboratory frame, at the same time a comparison is also done. The comparison between theoretical and numerical results shows they are in good agreement. |
| Keywords: | tailing wavetrain precursor soliton single-layer flow |
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