Kuramoto-Sivashinsky equation
Numerical Simulation of Stochastic Kuramoto Sivashinsky Equation
... random Kuramoto-Sivashinsky equation with additive noise is studied numerically, using the finite difference method to simulate the effect of different amplitude of noise on the solitary ...
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Controlling roughening processes in the stochastic Kuramoto–Sivashinsky equation
... stochastic Kuramoto-Sivashinsky equation. The original equation is split into a linear stochastic and a nonlinear deterministic equation so that we can apply linear feedback control ...
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Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto Sivashinsky Equation
... In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu- tions of a two dimensional generalized anisotropy Kuramoto-Sivashinsky Equation. Then we prove the ...
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Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation
... In this work the generalized Kuramoto-Sivashinsky equation is solved for exact solutions. The said GKSE have exact solutions for the different α and β values, which we obtained by the application of ...
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The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation
... The Kuramoto–Sivashinsky equation is a non-linear evolution equation and has many applications in a variety of physical phenomena such as reaction diffusion systems (Kuramoto and ...
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Stabilizing non trivial solutions of the generalized Kuramoto Sivashinsky equation using feedback and optimal control
... the Kuramoto-Sivashinsky equation is studied in this ...the equation in which the effects of an electric field and dispersion are ...the Kuramoto-Sivashinsky equation, ...
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Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
... generalized Kuramoto- Sivashinsky equation ...generalized Kuramoto- Sivashinsky equation ...generalized Kuramoto-Sivashinsky equation ...
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Multiplicity and structures for traveling wave solutions of the Kuramoto Sivashinsky equation
... However, the details of multiple solutions are still unclear because of numerical ac- curacy. In this paper, a mapped Chebyshev pseudospectral method is used to compute the nonperiodic travelling wave solutions of the KS ...
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A Reduced High-order Compact Finite Difference Scheme Based on Proper Orthogonal Decomposition for the Generalized Kuramoto-Sivashinsky Equation
... Burgers’ equation [11], Korteweg-de Vries (KdV) equation [10], Navier-Stokes equations [12], [13], Schr¨ odinger equa- tion [14], Sine-Gordon equation [15], Rosenau-RLW equa- tion [16], [17], time ...
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Travelling wave solution to a generalized Kuramoto-Sivashinsky equation
... It is known that the KS equation has travelling wave solution in terms of hyperbolic tangent function, whereas the KdVB equation has travelling wave solution invo[r] ...
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An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation
... In this paper, we provide a comprehensive numerical study of the 2D KSE to complement (and possibly guide) the emerging body of analytical work on this equation. The combination of numerical and analytical studies ...
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Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation
... nonlinear Kuramoto–Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse ...the Kuramoto–Sivashinsky equation. The Kuramoto–Siva- ...
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Dynamics of active systems with nonlinear excitation of the phase
... differential equation gov- erning the phase of ...phase equation may involve self-excitation such as anti-diffusion in the (Kuramoto-Sivashinsky ...phase equation based on a nonlinear ...
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Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations
... of Kuramoto- Sivashinsky equation by making its solutions equi-attractive in the large, although the original PDE exhibited spatiotemporal chaotic ...two Kuramoto-Sivashinsky equations, ...
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Quantitative Mereology: An essay to derive physics laws from a philosophical concept
... “basic equation” can then be subjected to a number of algebraic ...this equation leads to correlation terms between the things implying that the whole is more than just the sum of its ...basic ...
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The connection of the Degasperis-Procesi equation with the Vakhnenko equation
... solutions are characterized by two parameters. Hump-like, loop-like and coshoidal periodic- wave solutions are found; hump-like, loop-like and peakon solitary-wave solutions are ob- tained as well. Hone and Wang showed a ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... In this section , we give an alternative shorter method for deriving the solution of a generalized diffusion equation investigated by Hilfer [16] (2000). Below we define the (right/left-sided) fractional ...
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Nijenhius Tensoron Hyperbolic Hsu-Structure Manifold
... resulting equation we get ...Barring equation (2.2b) throughout and using structure in the resulting equation, we get the equation ...in equation (2.1b), using structure and comparing ...
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Neutronization: A More Comprehensive Equation
... is formed, the stellar nucleo-synthesis stops, since the Fe is not meltable. Therefore, once there is no more fuel, hence no more thermonuclear reactions, the gravity takes over: the star begins to contract, with a ...
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A More Precise Computation of Along Wind Dynamic Response Analysis for Tall Buildings Built in Urban Areas
... of Equation (30) and Equation (27) will be ...of Equation (9) is neglected as Equation (10), then the element of row i, column j of the wind load spectrum matrix is: ( ) P u i j S = c i c j ...
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