Solitary waves on a shelf
نویسندگان
چکیده
or equal to Pc > U(O)*‘, where U(O)* ’ IS the propagation speed of shallow-water waves and Ue is determined by Eq. ( 12). The solitary wave is found by solving a forced Korteweg-de Vries equation. The amplitude of the solitary wave is proportional to the upstream velocity and the downstream elevation is inversely proportional to the upstream velocity. A second branch of solutions of the forced Korteweg-de Vries equation are also found, which are uniform flows both far upstream and far downstream.
منابع مشابه
Generation of Secondary Solitary Waves in the Variable-Coefficient Korteweg-de Vries Equation
We consider the solitary wave solutions of a Korteweg-de Vries equation, where the coefficients in the equation vary with time over a certain region. When these coefficients vary rapidly compared with the solitary wave, then it is well-known that the solitary wave may fission into two or more solitary waves. On the other hand, when these coefficients vary slowly, the solitary wave deforms adiab...
متن کاملA Simple Approach for Shallow-Water Solitary Wave Interactions
This paper presents analysis of the nonlinear interaction of a pair of solitary waves, the splitting of an isolated hump into a train of solitary waves, and the fission of a single solitary wave on reaching a shelf. Such interactions and splitting behaviour are usually described in the Korteweg–de Vries equation using the Hirota method, or more generally in terms of inverse scattering, a type o...
متن کاملInternal solitary waves of elevation advancing on a shoaling shelf
[1] A sequence of three internal solitary waves of elevation were observed propagating shoreward along a near-bottom density interface over Oregon’s continental shelf. These waves are highly turbulent and coincide with enhanced optical backscatter, consistent with increased suspended sediments in the bottom boundary layer. Nonlinear solitary wave solutions are employed to estimate wave speeds a...
متن کاملSimulation of the Transformation of Internal Solitary Waves on Oceanic Shelves
Due to the horizontal variability of oceanic hydrology (density and current stratification) and the variable depth over the continental shelf, internal solitary waves transform as they propagate shorewards into the coastal zone. If the background variability is smooth enough, a solitary wave possesses a soliton-like form with varying amplitude and phase. This stage is studied in detail in the f...
متن کاملInternal solitary waves: propagation, deformation and disintegration
Abstract In coastal seas and straits, the interaction of barotropic tidal currents with the continental shelf, seamounts or sills is often observed to generate large-amplitude, horizontally propagating internal solitary waves. Typically these waves occur in regions of variable bottom topography, with the consequence that they are often modeled by nonlinear evolution equations of the Korteweg-de...
متن کاملSimplest Equation Method for nonlinear solitary waves in Thomas- Fermi plasmas
The Thomas-Fermi (TF) equation has proved to beuseful for the treatment of many physical phenomena. In this pa-per, the traveling wave solutions of the KdV equation is investi-gated by the simplest equation method. Also, the effect of differentparameters on these solitary waves is considered. The numericalresults is conformed the good accuracy of presented method.
متن کامل