We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and 2 1 -dimensional Davey-Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling wave hypothesis approach is used to find exact solutions of the 2 1 dimensional Davey-Stewartson eq...

Earlier results for distributed and boundary controls of the viscous Burgers' equation were established by Burns et al. and Byrnes et al.. In their results there are technical restrictions on the sizes of the initial data. In this paper we relax these restrictions, as well as treat the Burgers' equation with other nonlinear boundary conditions.

The Eulerian–Lagrangian method of fundamental solutions is proposed to solve the two-dimensional unsteady Burgers’ equations. Through the Eulerian–Lagrangian technique, the quasi-linear Burgers’ equations can be converted to the characteristic diffusion equations. The method of fundamental solutions is then adopted to solve the diffusion equation through the diffusion fundamental solution; in t...

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.

The present study aimed to evaluate the effect of free and microencapsulated Ziziphora clinopodioides Essential Oil (ZEO) and Nisin individually and in combinationon sensory characteristic and shelf life of fish burger during 20 days of storage at 4±1˚C. Fish burgers were prepared and treated with free and microencapsulated form of ZEO and Nisin in 15 treatments and evaluated by 20...

A non-isotropic version of phase equations such as the Burgers equation, the K-dV-Burgers equation, the Kuramoto-Sivashinsky equation and the Benney equation in the three-dimensional space is systematically derived from a general reaction-diffusion system by means of the renormalization group method. PACS codes: 47.20.Ky

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 ...

Background: Beef burgers made in Iran contain various compounds such as meat, cereals flour, as well as some spices which can be contaminated to Bacillus cereus, causing gastroenteritis in the consumer. This study is focused onoccurrence of B. cereus in beef burgers marketed in Tehran, capital of Iran. Methods:  In this cross-sectional study, a total of 80 samples of different types of be...