‎in this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear pdes in mathmatical physics; namely the one-‎dimensional modified complex ginzburg-landau equation by using the $ (g^{'}/g) $ expansion method‎, homogeneous balance method, extended f-expansion method‎. ‎by ‎using homogeneous balance principle and the extended f-expansion, more periodic wave solutions expres...

In this paper, the nonlinear dynamical behavior of an isotropic rectangular plate, simply supported on all edges under influence of a moving mass and as well as an equivalent concentrated force is studied. The governing nonlinear coupled PDEs of motion are derived by energy method using Hamilton’s principle based on the large deflection theory in conjuncture with the von-Karman strain-displacem...

s The PDE workshop on Analysis of Nonlinear PDEs and Free Boundary Problems: Applications to Homogenization

in this work, we have applied elzaki transform and he's homotopy perturbation method to solvepartial dierential equation (pdes) with time-fractional derivative. with help he's homotopy per-turbation, we can handle the nonlinear terms. further, we have applied this suggested he's homotopyperturbation method in order to reformulate initial value problem. some illustrative examples...

In this paper we present a Krylov acceleration technique for nonlinear PDEs. As a `precon-ditioner' we use nonlinear multigrid schemes, like FAS 1]. The beneets of the combination of nonlinear multigrid and the new proposed accelerator is shown for diicult nonlinear ellip-tic scalar problems, like the Bratu problem and for systems of nonlinear equations, like the Navier-Stokes equations.

Abstract Solutions to nonlinear evolution equations exhibit a wide range of interesting phenomena such as shocks, solitons, recurrence, and blow-up. As an aid understanding some these features, the solutions can be viewed analytic functions complex space variable. The dynamics poles branch point singularities in plane often associated with aforementioned features solution. Some computational an...