The Approximate Solutions of the stochastic Generalized Swift-Hohenberg Equation with Neumann Boundary Conditions

E. M Elabbasy¹, Wael W. Mohammed¹ and Mahmoud A. Nagy^1,

¹Department of Mathematics, Faculty of Science, Mansoura University, Egypt

Cite this paper:
E. M Elabbasy, Wael W. Mohammed and Mahmoud A. Nagy. The Approximate Solutions of the stochastic Generalized Swift-Hohenberg Equation with Neumann Boundary Conditions. International Journal of Partial Differential Equations and Applications. 2015; 3(1):12-19. doi: 10.12691/ijpdea-3-1-3

Abstract

We consider the stochastic Generalized Swift-Hohenberg (GSSH) equation with respect to Neumann boundary conditions on the interval [0, π] in this form Our aim of this paper is to approximate the solutions of (GSSH) via the amplitude equation with quintic term.

Keywords:
Generalized Swift-Hohenberg equation Neumann boundary conditions amplitude equations time-scales

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