Effects of the Varying Bottom on Nonlinear Surface Waves

WU Zheng-ren; CHENG You-liang; WANG Song-ling; LÜ Yu-kun

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(3): 365-371

WU Zheng-ren, CHENG You-liang, WANG Song-ling, LÜ Yu-kun. Effects of the Varying Bottom on Nonlinear Surface Waves[J]. Applied Mathematics and Mechanics, 2006, 27(3): 365-371.

Citation:

WU Zheng-ren, CHENG You-liang, WANG Song-ling, LÜ Yu-kun. Effects of the Varying Bottom on Nonlinear Surface Waves[J]. Applied Mathematics and Mechanics, 2006, 27(3): 365-371.

Citation:

WU Zheng-ren, CHENG You-liang, WANG Song-ling, LÜ Yu-kun. Effects of the Varying Bottom on Nonlinear Surface Waves[J]. Applied Mathematics and Mechanics, 2006, 27(3): 365-371.

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Effects of the Varying Bottom on Nonlinear Surface Waves

School of Energy & Power Engineering, North China Electric Power University, Baoding, Hebei 071003, P. R. China

Received Date: 2003-12-13
Rev Recd Date: 2005-12-12
Publish Date: 2006-03-15

Abstract

Abstract

The resonant flow of an incompressible,inviscid fluid with surface tension on varying bottoms was researched.The effects of different bottoms on the nonlinear surface waves were analyzed.The waterfall plots of the wave were drawn with Matlab according to the numerical simulation of the fKdV equation with the pseudo-spectral method.From the waterfall plots,the results are obtained as follows:for the convex bottom,the waves system can be viewed as a combination of the effects of forward-step forcing and backward-step forcing,and these two wave systems respectively radiate upstream and downstream without mutual interaction.Nevertheless,the result for the concave bottom is contrary to the convex one.For some combined bottoms,the wave systems can be considered as the combination of positive forcing and negative forcing.
- varying bottom,
- resonant flow,
- solitary wave,
- fKdV equation,
- pseudo-spectral method,
- waterfall plot

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References(12)

References

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