Results 11 to 20 of about 6,393,597 (298)

Optimal Control of a Viscous Shallow Water Equation [PDF]

open access: yesAdvances in Mathematical Physics, 2013
This paper is concerned with a viscous shallow water equation, which includes both the viscous Camassa-Holm equation and the viscous Degasperis-Procesi equation as its special cases.
Wenbin Zhang, Jiangbo Zhou
doaj   +3 more sources

Shear instabilities in shallow-water magnetohydrodynamics [PDF]

open access: yes, 2013
The interaction of horizontal shear flows and magnetic fields in stably stratified layers is central to many problems in astrophysical fluid dynamics.
Mak, Julian
core   +6 more sources

Exact solutions of the generalized (2+1)-dimensional shallow water wave equation

open access: yesResults in Physics, 2022
In this paper, we construct abundant exact solutions of generalized (2+1)-dimensional shallow water wave equation via the Hirota bilinear method and test functions. We obtain exact interaction solutions, such as solitons, lump solutions and lump-periodic
Shan Yu, Lin Huang
doaj   +1 more source

THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES

open access: yesBarekeng, 2022
Many practical problems can be modeled using the one-dimensional shallow water wave equation. Therefore, the solution to the one-dimensional shallow water wave equation will be discussed to solve this problem.
Iffah Nurlathifah Fikri, Sumardi Sumardi
doaj   +1 more source

Fractional-stochastic shallow water equations and its analytical solutions

open access: yesResults in Physics, 2023
In this paper, the stochastic shallow water wave equation with M-Truncated derivative is taken into account. New rational, trigonometric and hyperbolic solutions are produced using the He’s semi-inverse method and modified extended tanh-function method ...
Amjad E. Hamza   +3 more
doaj   +1 more source

On a shallow water wave equation [PDF]

open access: yesNonlinearity, 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
openaire   +2 more sources

Soliton Dynamics of the Generalized Shallow Water Like Equation in Nonlinear Phenomenon

open access: yesFrontiers in Physics, 2022
The generalized shallow water like equation is investigated in this research paper. Exact solutions of generalized shallow water like equation are extracted using modified auxiliary equation (MAE) method and extended (G′G2)-expansion method.
Ghazala Akram   +2 more
doaj   +1 more source

An investigation of a closed-form solution for non-linear variable-order fractional evolution equations via the fractional Caputo derivative

open access: yesFrontiers 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
doaj   +1 more source

Simulasi Dampak Penghalang pada Gelombang Tsunami Menggunakan Persamaan Air Dangkal dengan Metode Beda Hingga

open access: yesJambura 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
doaj   +1 more source

The Soliton Solutions of the Stochastic Shallow Water Wave Equations in the Sense of Beta-Derivative

open access: yesMathematics, 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
doaj   +1 more source

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