| 有限深水斯托克斯波的一种近似解析解 |
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| 引用本文： | 宋曙光,沈正. 有限深水斯托克斯波的一种近似解析解[J]. 中国海洋大学学报(自然科学版), 1994, 0(3) |
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| 作者姓名： | 宋曙光 沈正 |
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| 摘 要： | 给出有限深水斯托克斯波的一种新的近似解法，得到了与经典三阶斯托克斯波不同弥散关系。并与Ｓｋｅｊｅｌｂｒｅｉａ和Ｔａｄｊｂａｋｈｓｈｄ＆Ｋｅｌｌｅｒ的经典斯托克斯波的结果进行比较，发现在Ｋｄ较小处，差别比较明显。指出，它对精确确定斯托克斯波解，特别是确定高阶斯托克斯波的表达形式有重要的应用价值。
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| 关 键 词： | 斯托克斯波，近似解析解，非线性，弥散关系，波面函数 |
AN APPROXIMATE ANALYTICAL SOLUTION TO STOKES WAVES FOR FINITE DEPTH |
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| Song Shuguang, Shen Zheng. AN APPROXIMATE ANALYTICAL SOLUTION TO STOKES WAVES FOR FINITE DEPTH[J]. Periodical of Ocean University of China, 1994, 0(3) |
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| Authors: | Song Shuguang Shen Zheng |
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| Affiliation: | Institute of Physical Oceanography |
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| Abstract: | In this paper, an approximate analytical solution to Stokes waves of finite depth is developted. The dispersion relation of the third-order Stokes waves we obtained is different from that of the classical theory. Comparison with the results of Skejelbreia and Tadjbakhshd and Keller shows that the difference is more remarkable when the value of kd is smaller. This is important in practice in accurate determination of Stokes waves solution, especially for high-order Stokes waves. |
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| Keywords: | Stokes waves nonlinearity dispersion relation surface profile |
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