منابع مشابه
Numerical simulation of the stochastic Korteweg–de Vries equation
In this work, we numerically investigate the influence of a homogeneous noise on the evolution of solitons for the Korteweg–de Vries equation. Our numerical method is based on finite elements and least-squares. We present numerical experiments for different values of noise amplitude and describe different types of behaviours. ©1999 Elsevier Science B.V. All rights reserved.
متن کاملRare-Event Simulation for the Stochastic Korteweg--de Vries Equation
An asymptotic analysis of the tail probabilities for the dynamics of a soliton wave U(x, t) under a stochastic time-dependent force is developed. The dynamics of the soliton wave U(x, t) is described by the Korteweg–de Vries (KdV) equation with homogeneous Dirichlet boundary conditions under a stochastic time-dependent force, which is modeled as a time-dependent Gaussian noise with amplitude . ...
متن کاملRare-event Simulation for Stochastic Korteweg-de Vries Equation
An asymptotic analysis of the tail probabilities for the dynamics of a soliton wave U(x, t) under a stochastic time-dependent force is developed. The dynamics of the soliton wave U(x, t) is described by the Korteweg-de Vries Equation with homogeneous Dirichlet boundary conditions under a stochastic time-dependent force, which is modeled as a time-dependent Gaussian noise with amplitude . The ta...
متن کاملKorteweg-de Vries Equation in Bounded Domains
where μ, ν are positive constants. This equation, in the case μ = 0, was derived independently by Sivashinsky [1] and Kuramoto [2] with the purpose to model amplitude and phase expansion of pattern formations in different physical situations, for example, in the theory of a flame propagation in turbulent flows of gaseous combustible mixtures, see Sivashinsky [1], and in the theory of turbulence...
متن کاملA Novel Approach for Korteweg-de Vries Equation of Fractional Order
In this study, the localfractional variational iterationmethod (LFVIM) and the localfractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractionalderivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very ef...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics: Conference Series
سال: 2012
ISSN: 2010-1945,2010-1945
DOI: 10.1142/s2010194512005685