2024-04

Optical and Quantum Electronics (Volume : 56)

In this paper, we study the stochastic Fokas–Lenells equation with multiplicative white noise in the Itô sense. For this purpose, we will use the Jacobi elliptic expansion function method. The nonlinear partial diferential equation is transformed into ordinary diferential equations through the symmetry reduction technique. New optical solutions are constructed as dark, combined hyperbolic, periodic, bright, and rational solutions. Depending on the parameters, these optical solutions exhibit varying periods of qualitative characteristics. Furthermore, the efects of time on the solutions of the nonlinear stochastic Fokas– Lenells equation are examined. In addition, graphical representations of a few solutions are included to supplement our analysis.

2017-04

INCAS BULLETIN (Issue : 2) (Volume : 9)

In this paper, a mathematical model is constructed to describe a two dimensional incompressible flow in a symmetric horizontal thin liquid film for unsteadies flow. We apply the Navier-Stokes equations with specified boundary conditions and we obtain the equation of the film thickness by using the similarity method in which we can isolate the explicit time dependence and then the shape of the film will depend on one variable only.

2016-08

International Journal of Advanced and Applied Sciences (Issue : 8) (Volume : 3)

In this study, The steady flow of and within horizontal thin liquid symmetric double-sided film is considered. The nonlinear differential equations that govern such flow are derived from the Navier-Stokes equation. The solution curves are obtained numerically by using MATLAB software for two nondimensional cases. Numerical method and MATLAB are used to obtain the solutions and plot the curves for the result nonlinear differential equation and for number of fluids