Lie point symmetries of time-fractional potential Burgers' equation are presented. Using these symmetries fractional potential Burgers' equation has been transformed into an ordinary differential equation of fractional order corresponding to the Erdélyi-Kober fractional derivative. Further, an analytic solution is furnished by means of the invariant subspace method. AMS subject classifications:...

The Burgers equation with linear damping has been subjected to Lie's group theoretic method of infinitesimal transformation to derive its solutions. To the best of our knowledge, we are the first to obtain a new similarity variable for an equation of the Burgers type and therefore provide new solutions.

In this paper, we discuss a link of Itô’s stochastic differential equations to nonlinear partial differential equations of Burgers type. Under certain conditions, we derive a generalised Burgers equation from a stochastic differential equation. We also give some economic interpretation of our result as well as the relevant conditions. Mathematics Subject Classification (2000): 60H10, 35K58, 91G99.

We calculate (to rst order in the Burgers vector) the energy of introducing dislocations into Stranski-Krastanow islands having equilibrium shape. These results suggest that misst dislocations of diierent Burgers vector tend to segregate spatially within the islands, which may aaect the mosaic structure of lms formed by island coalescence.

the effect of temperature on the viscoelastic behavior of chicken meat frankfurters was assessed by creep recovery tests. compression creep-recovery tests were performed at room temperature (20°c) and refrigeration (5°c) on samples of cylindrical shape. the viscoelastic behavior of samples was characterized based on the parameters of the four-element burgers model. during the compression phase,...

In this paper we calculate the structure functions of one dimensional Burgers and KPZ equations with and without noise, and we interpret our findings using shocks. Most of our results are based on direct numerical simulation of the KPZ equation. Using the solution of noiseless Burgers equation we show that the exponent cq (< |h(x+r)−h(x)| q >∝ rqcq ) of the structure function of noiseless KPZ i...

Higher-order accurate finite-difference schemes for solving the unsteady Burgers’ equation which often arises in mathematical modeling used to solve problems in fluid dynamics are presented. The unsteady Burgers’ equation belongs to a few nonlinear partial differential equations which has an exact solution, and it allows one to compare the numerical solution with the exact one, and the properti...

Aspects of the stochastic Burgers equation and their connection with turbulence. Summary. We present results for the 1 dimensional stochastically forced Burgers equation when the spatial range of the forcing varies. As the range of forcing moves from small scales to large scales, the system goes from a chaotic, structureless state to a structured state dominated by shocks. This transition takes...

A photovoltaic thermal hybrid solar cell is being developed for an energy conversion efficiency higher than the Shockley-Queisser limit, consisting of two junctions with different bandgaps operating on top of a thermal collector at 450 C under solar radiation focused by a concentrator. InxGa1-xN thin films are used due to their wide bandgap range and their stability at high temperatures. The ta...