The Solitary Waves in a Gradually Varying Channel of Arbitrary Cross-section

Chou Xian-chu

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Chou Xian-chu. The Solitary Waves in a Gradually Varying Channel of Arbitrary Cross-section[J]. Applied Mathematics and Mechanics, 1981, 2(4): 397-406.

Citation:

Chou Xian-chu. The Solitary Waves in a Gradually Varying Channel of Arbitrary Cross-section[J]. Applied Mathematics and Mechanics, 1981, 2(4): 397-406.

Citation:

Chou Xian-chu. The Solitary Waves in a Gradually Varying Channel of Arbitrary Cross-section[J]. Applied Mathematics and Mechanics, 1981, 2(4): 397-406.

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The Solitary Waves in a Gradually Varying Channel of Arbitrary Cross-section

Chou Xian-chu

Institute of Mechanics, Academta Sinica, Beijing

Received Date: 1981-01-31
Publish Date: 1981-08-15

Abstract

Abstract

In this paper, the solitary waves in an arbitrary cross-section channel which gradually changes in the streamwise have been studied. The KdV equation with slowly varying coefficients is derived. Thus, we produced the first term of its asymptotic solution, travel speed of solitary waves and the relation between the amplitude of wave and the geometric size of channel. The results have been applied to the cases of triangular and rectangular channels. For the channel with varying depths and breadths they are fairly consistent with those of Johnson, Shuto and Mile.

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References(10)

References

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[3]	Johnson,R.S.,On the development of a solitary wave moving over an uneven bottom.Proc.Camb.Phil.Soc.73,(1973a),183-203.
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