Results 21 to 30 of about 390,703 (296)
Topological Derivative for Shallow Water Equations
CoRR, 2023 Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant advance of the sea. These include climate change, with rising sea levels due to the melting of ice at the Earth's poles, the amplification of the tidal effect, leading to the ...
Mame Gor Ngom +2 more
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Results in Physics, 2023 Results Phys. 52, 106822 (2023) has initiated the readers into a good study of certain homoclinic breathers and rational solitons for a (3+1)-dimensional nonlinear soliton equation in the shallow water.
Xin-Yi Gao
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Wave solution behaviors for fractional nonlinear fluid dynamic equation and shallow water equation [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 The behaviors of wave solutions of the fractional nonlinear space-time Sharma-Tasso-Olever equation and the fractional nonlinear space-time Estevez-Mansfield-Clarkson equation, representing a fluid dynamics equation and a shallow water equation ...
Weerachai Thadee +3 more
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Riemann Problem for Shallow Water Equation with Vegetation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We investigate the existence of the solution of the Riemann Problem for a simplified water ow model on a vegetated surface - system of shallow water type equations. It is known that the system with discontinuous topography is non-conservative even if the
Ion Stelian +2 more
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Wave Effects of the Fractional Shallow Water Equation and the Fractional Optical Fiber Equation
Frontiers in Applied Mathematics and Statistics, 2022 The non-linear space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the non-linear space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation showed the motion of waves in the shallow water equation and the optical fiber equation ...
Sirasrete Phoosree, Weerachai Thadee
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Integrable Shallow‐Water Equations and Undular Bores [PDF]
Studies in Applied Mathematics, 2001 On the basis of the integrable Kaup–Boussinesq version of the shallow‐water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.
El, Gennady +2 more
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Invariant Discretization Schemes for the Shallow-Water Equations [PDF]
SIAM Journal on Scientific Computing, 2012 27 pages, 6 figures, minor ...
Alexander Bihlo, Roman O. Popovych
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Numerical study of a Whitham equation exhibiting both breaking waves and continuous solutions
AIP Advances, 2021 We consider a Whitham equation as an alternative for the Korteweg–de Vries (KdV) equation in which the third derivative is replaced by the integral of a kernel, i.e., ηxxx in the KdV equation is replaced by ∫−∞∞Kν(x−ξ)ηξ(ξ,t)dξ.
Michael P. Mortell, Kieran F. Mulchrone
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Computers and Mathematics with Applications, 2019 Many important physical situations such as fluid flows, marine environment, solid-state physics and plasma physics have been represented by shallow water wave equations.
Dharmendra Kumar, Sachin Kumar
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Water ow on vegetated hill. 1D shallow water equation type model
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 A mathematical model for the water ow on a hill covered by variable distributed vegetation is proposed in this article. The model takes into account the variation of the geometrical properties of the terrain surface, but it assumes that the surface ...
Ion Stelian +4 more
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