| STUDY OF NONLINEAR LONG WAVE APPOXIMATION IN UNIFORM CHANNELS VIA HAMILTONIAN STRUCTURE |
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| 作者姓名： | Xu Xin-sheng Zhong Wan-xie Lu Yu-lin |
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| 作者单位： | Institute of Engineering Mechanics，Dalian University of Technology，Dalian 116024，P. R. China |
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| 摘 要： | ＳＴＵＤＹＯＦＮＯＮＬＩＮＥＡＲＬＯＮＧＷＡＶＥＡＰＰＯＸＩＭＡＴＩＯＮＩＮＵＮＩＦＯＲＭＣＨＡＮＮＥＬＳＶＩＡＨＡＭＩＬＴＯＮＩＡＮＳＴＲＵＣＴＵＲＥ￥ＸｕＸｉｎ－ｓｈｅｎｇ；ＺｈｏｎｇＷａｎ－ｘｉｅ；ＬｕＹｕ－ｌｉｎ（ＩｎｓｔｉｔｕｔｅｏｆＥｎｇ...
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STUDY OF NONLINEAR LONG WAVE APPOXIMATION IN UNIFORM CHANNELS VIA HAMILTONIAN STRUCTURE |
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| Xu Xin-sheng, Zhong Wan-xie, Lu Yu-lin.STUDY OF NONLINEAR LONG WAVE APPOXIMATION IN UNIFORM CHANNELS VIA HAMILTONIAN STRUCTURE[J].Journal of Hydrodynamics,1995(1). |
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| Authors: | Xu Xin-sheng Zhong Wan-xie Lu Yu-lin |
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| Abstract: | This peper studies the nonlinear wave theory in shallow water via the Hamiltonian structure. The principal is the surface wave evolution on water contained in uniform channels. The Ploper Hamiltonian appoximating scheme for the more general case of waves that undergo transverse variations in amplitude in the course of longitudinal propagations is constructed. Some solutions for channels with different cross-sections,especially,the rectangular cross-section, are presented to elucidate the main features of the approxiamting scheme for the problem of interest. The obtained results shows that the nonlinear approximation of wave evolution in channels depends not only on water depth but also on a parameter determined by the geometric shape Of the channel. |
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| Keywords: | Hamiltonian structure nonlinear wave uniform channel |
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