Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom (Q668322)
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scientific article; zbMATH DE number 7037810
| Language | Label | Description | Also known as |
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| English | Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom |
scientific article; zbMATH DE number 7037810 |
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Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom (English)
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19 March 2019
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The authors obtain and study the exact solutions of one-dimensional shallow-water equations under consideration which correspond to the propagation of a step-like perturbation of the free surface. They analyze the behavior of the solution in the case where the perturbation is reflected from the shore. This is an interesting work.
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shallow water
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linearized system of equations
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exact solution
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symmetry operator
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perturbation
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asymptotics
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