We have considered an unmagnetized dusty plasma system consisting of ions obeying superthermal distribution and strongly coupled negatively charged dust. We have used reductive perturbation method and derived the Kordeweg-de Vries-Burgers (KdV-Burgers) equation. The behavior of the shock waves in the plasma has been investigated. Keywords—Shock, Soliton, Coupling, Superthermal ions.

A stochastic representation of the dynamics of the Burger's turbulence model and of the two{dimensional turbulence is developed. The random velocity eld is regarded as a multivariate stochastic Markov process deened by a master equation. It is shown that Burgers' equation and the two{dimensional Navier{Stokes equation are obtained as the macroscopic equations for the averages of the underlying ...

In this paper, we shall use the variational iteration method to introduce a framework for analytic treatment of linearized Burgers’ equation and coupled Burgers’ equations in 2dimensional space. For these equations, the exact solutions are obtained. The paper confirms the power and efficiency of the method in reducing the size of the calculation, also the simplicity of the method compared with ...

We describe an approach to nonlocal, nonlinear advection in one dimension that extends the usual pointwise concepts to account for nonlocal contributions to the flux. The spatially nonlocal operators we consider do not involve derivatives. Instead, the spatial operator involves an integral that, in a distributional sense, reduces to a conventional nonlinear advective operator. In particular, we...

We consider the weakly asymmetric exclusion process on the one dimensional lattice. It has been proven that, in the diiusive scaling limit, the density eld evolves according to the Burgers equation 8, 19, 14] and the uctuation eld converges to a generalized Ornstein-Uhlenbeck process 8, 10]. We analyze instead the density uctuations beyond the hydrodynamical scale and prove that their limiting ...

Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations one spatial direction and traffic flow, for example. Following on from previous work, we analyse solutions complex plane, concentrating dynamics of singularities their relationship solution real line. For an initial condition simple pole each upper- lower-half planes, apply formal as...

Abstract Computational fluid dynamics (CFD) simulations are a vital part of the design process in aerospace industry. Although reliable CFD results can be obtained with turbulence models, direct numerical simulation complex bodies three spatial dimensions (3D) is impracticable due to massive amount computational elements. For instance, 3D turbulent boundary-layer over wing commercial jetliner t...

The SBV regularity of weak entropy solutions to the Burgers-Poisson equation for initial data in L 1 ( R ) is considered. We show that derivative a solution consists only absolutely continuous part and jump part.