Results 11 to 20 of about 390,703 (296)
An integrable shallow water equation with peaked solitons. [PDF]
Physical Review Letters, 1993 We derive a new completely integrable dispersive shallow water equation that is bi-Hamiltonian and thus possesses an infinite number of conservation laws in involution. The equation is obtained by using an asymptotic expansion directly in the Hamiltonian
R. Camassa, Darryl D. Holm
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On a shallow water wave equation [PDF]
Nonlinearity, 1994 In this paper we study a shallow water equation derivable using the Boussinesq approximation, which includes as two special cases, one equation discussed by Ablowitz et. al. [Stud. Appl. Math., 53 (1974) 249--315] and one by Hirota and Satsuma [J. Phys. Soc. Japan}, 40 (1976) 611--612]. A catalogue of classical and nonclassical symmetry reductions, and
Clarkson, Peter A. +1 more
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Frontiers in Physics, 2023 Determining the non-linear traveling or soliton wave solutions for variable-order fractional evolution equations (VO-FEEs) is very challenging and important tasks in recent research fields.
Umair Ali +5 more
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Jambura Journal of Mathematics, 2021 ABSTRAK Tsunami menjadi salah satu bencana alam yang paling berbahaya di daerah sekitar pesisir. Dampak dari gelombang tsunami menyebabkan kerugian yang besar bagi manusia, adanya banyak korban jiwa dan juga besarnya kerugian dalam bidang ekonomi ...
Ahmad Zaenal Arifin
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The Soliton Solutions of the Stochastic Shallow Water Wave Equations in the Sense of Beta-Derivative
Mathematics, 2023 The stochastic shallow water wave equation (SSWWE) in the sense of the beta-derivative is considered in this study. The solutions of the SSWWE are obtained using the F-expansion technique with the Riccati equation and He’s semi-inverse method.
Wael W. Mohammed +3 more
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Results in Physics, 2021 The propagation of shallow water waves with small amplitudes as they propagate in a water channel of constant depth at a uniform speed is described by general Boussinesq equation.
Tukur A. Sulaiman +5 more
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SHALLOW WATER EQUATION SOLUTION IN 2D USING FINITE DIFFERENCE METHOD WITH EXPLICIT SCHEME
Jurnal Natural, 2017 . Modeling the dynamics of seawater typically uses a shallow water model. The shallow water model is derived from the mass conservation equation and the momentum set into shallow water equations.
Nuraini Nuraini +2 more
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Wake Synthesis For Shallow Water Equation [PDF]
Computer Graphics Forum, 2012 AbstractIn fluid animation, wake is one of the most important phenomena usually seen when an object is moving relative to the flow. However, in current shallow water simulation for interactive applications, this effect is greatly smeared out. In this paper, we present a method to efficiently synthesize these wakes. We adopt a generalized SPH method for
Zherong Pan +3 more
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E-Jurnal Matematika, 2018 This one-dimensional simulation is performed to find the convergence of different fluxes on the water wave using shallow water equation. There are two cases where the topography is flat and not flat.
EKO MEIDIANTO N. R. +2 more
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SEMI-IMPLICIT NUMERICAL SCHEMA IN SHALLOW WATER EQUATION
Jurnal Natural, 2017 . A two-dimensional shallow water equation integrated on depth water based on finite differential methods. Numerical solutions with different methods consist of explicit, implicit and semi-implicit schemes.
safwandi safwandi +2 more
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