| 外加驱动下深度缓变矩形槽中非传播表面孤波 |
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| 引用本文： | 罗剑兰 颜家壬. 外加驱动下深度缓变矩形槽中非传播表面孤波[J]. 湘潭大学自然科学学报, 1990, 12(3): 36-42 |
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| 作者姓名： | 罗剑兰 颜家壬 |
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| 作者单位： | 湘潭大学物理系(罗剑兰)，湘潭大学物理系(颜家壬) |
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| 摘 要： | 用多重尺度微扰技术导出了外加驱动下深度缓慢变化矩形槽中流体表面波所满足的方程,是含有缓变系数的非线性Schrodinger方程;并求出了特定情况下的非传播表面孤立波解。当深度不变且不考虑外加驱动和粘滞性时,结果与Larraza和Putterman理论的结果一致。
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| 关 键 词： | 表面波 孤波 多重尺度法 矩形槽 |
NONPROPAGATING SOLITARY WAVES ON SURFACE OF FLUID IN A SLOWLY VARYING DEPTH RECTANGULAR TROUGH EXCITED BY EXTERNAL DRIVE |
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| Luo Jianlan Van Jiaren. NONPROPAGATING SOLITARY WAVES ON SURFACE OF FLUID IN A SLOWLY VARYING DEPTH RECTANGULAR TROUGH EXCITED BY EXTERNAL DRIVE[J]. Natural Science Journal of Xiangtan University, 1990, 12(3): 36-42 |
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| Authors: | Luo Jianlan Van Jiaren |
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| Affiliation: | Department of Physics |
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| Abstract: | In this paper, the equation governed by surface waves of fluid in a slowly varying depth rectangular trough excited by external drive has been derived using the method of multiple scales, which is a nonlinear Schr(?)dinger equation with a slowly varying coefficient. The nonpropagating solitary wave solutions have been obtained in certain cases. When the bottom of trough is even and the external drive is neglected, the result obtained is consistent with that of Larraza and Putterman. |
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