The solitary waves in a gradually varying channel of arbitrary cross- section (Q1084982)
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scientific article; zbMATH DE number 3980725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The solitary waves in a gradually varying channel of arbitrary cross- section |
scientific article; zbMATH DE number 3980725 |
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The solitary waves in a gradually varying channel of arbitrary cross- section (English)
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1981
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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.
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solitary waves
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cross-section channel
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asymptotic solution
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speed of solitary waves
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