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- W1978148717 abstract "This paper deals with a shallow-water soliton incident upon a submerged barrier. Introducing an `edge-layer' near the barrier, the matched-asymptotic expansion method is applied to derive uniformly valid solutions. Assuming Boussinesq equations are valid for the shallow-water regions, two `reduced' boundary conditions are derived from the matching conditions. This boundary-value problem is further reduced to an `initial value' problem for K-dV equations, which is solved to investigate reflection and transmission of an incident soliton. For a moderate height of the barrier, the soliton can pass over the barrier as if it were almost transparent. As the barrier becomes high, the transmitted soliton is suppressed, while the reflected wave is enhanced and evolves into one soliton with slowly decaying ripples behind." @default.
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- W1978148717 date "1987-08-01" @default.
- W1978148717 modified "2023-09-24" @default.
- W1978148717 title "Reflection and Transmission of a Shallow-Water Soliton over a Barrir" @default.
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- W1978148717 doi "https://doi.org/10.1143/jpsj.56.2744" @default.
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