It describes shallow water waves propagating in both directions and possesses a highly complicated mechanism of solitary wave interaction [10].
Equation (1.3) is explicitly symmetric in the and derivatives and is very similar to the regularized long wave equation that describes shallow water waves and plasma drift waves [2, 3].
For Eq. (4), which describes shallow water waves, the blow-up occurs only in the form of wave-breaking, i.e. the solution remains bounded but its slope becomes unbounded in finite time.
The algorithms are applied to the linear advection equation, to the inviscid Burgers equation, and to the set of hyperbolic conservation laws that describe shallow water flow in one dimension.
was derived by Boussinesq [1] in 1872 to describe shallow water waves, where u ( x, t ) is an elevation of the free surface of fluid and the constant coefficients α and β depend on the depth of fluid and the characteristic speed of long waves.
In this paper, reverberation loss is considered as a basic physical quantity to describe shallow water reverberation, and reverberation loss versus time was calculated by using three models: the ray-based model, the WKBZ mode models with account taken and not taken of the effects of complex eigenvalues.
This paper focuses on water quantity issues, presenting finite-difference groundwater models developed to describe shallow water table levels, non-beneficial groundwater consumptive use, and return flows to streams across two regions within an irrigated alluvial river valley in southeastern Colorado, USA.
Specifically, we sampled 10 of the 24 described shallow-water stylasterid species (42%) plus an additional seven possibly undescribed species (Figure 2; see Table S1 for a list of species and notes on taxonomy).
Finally, John Updike's Terrorist (Hamish Hamilton), though easy to fault, was underrated by critics who failed to see just how accurately he describes the shallow morality of middle America which, he implies, has set itself up as a target for young Islamic idealists.
This paper describes a shallow geothermal system that was designed as an alternative to the cooling tower in a solar-assisted air-conditioning system installed in southern Spain (Almería).
This paper first describes a shallow water table model, based on deforming finite element (DFE) framework, to characterize the near-surface field-to-field hydrologic response to various irrigation and drainage management regimes along a gently sloping alluvial fan.
