Stochastic Extended Korteweg-De Vries Equation
نویسندگان
چکیده
منابع مشابه
Numerical studies of the stochastic Korteweg-de Vries equation
We present numerical solutions of the stochastic Korteweg-de Vries equation for three cases corresponding to additive time-dependent noise, multiplicative space-dependent noise and a combination of the two. We employ polynomial chaos for discretization in random space, and discontinuous Galerkin and finite difference for discretization in physical space. The accuracy of the stochastic solutions...
متن کاملSoliton interaction for the extended Korteweg-de Vries equation
Soliton interactions for the extended Korteweg-de Vries (KdV) equation are examined. It is shown that the extended KdV equation can be transformed (to its order of approximation) to a higher-order member of the KdV hierarchy of integrable equations. This transformation is used to derive the higher-order, two-soliton solution for the extended KdV equation. Hence it follows that the higher-order ...
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 کاملNumerical 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.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences and Modelling
سال: 2019
ISSN: 2636-8692
DOI: 10.33187/jmsm.459461