New Electromagnetic Fluids Inextensible Flows of Spacelike Particles and some Wave Solutions in Minkowski Space-time

In this paper, we construct a new method for inextensible flows of spacelike curves in Minkowski space-time. Using the Frenet frame of the given curve, we present partial differential equations and we obtain solitions some of this equations. We give some characterizations for curvatures of a spacelike curve in Minkowski space-time. © 2015, Springer Science+Business Media New York

On Approximate Solutions of Bright Optical Soliton for Schrodinger Equation of Power Law Nonlinearity

WOS: 000422715700013In this work, the residual power series method (RPSM) and homotopy analysis transform method (HATM) for solving Schrodinger equation of power law nonlinearity is introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions. The HATM is a combined form of the Laplace transform method and homotopy analysis method. The solutions of our equation are computed in the form of rabidly convergent series with easily calculable components by using Mathematica Software Package. Reliability of methods are given graphical consequence and series solutions are made use of to illustrate the solution. The approximate solutions are compared with the known exact solutions. The found consequence show that these methods are very power and efficient in determination of bright optical soliton of nonlinear Schrodinger equation and can be applied to other nonlinear problems

Approximate solutions of bright and dark optical solitons in birefrigent fibers

In this article, the residual power series method (RPSM) for solving the nonlinear Schrödinger equation is introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions to birefringent fibers. Dark and singular numerical optical soliton solutions are listed for these nonlinearities. We studied these cases as an application for the nonlinear Schrödinger equation. Then we have provided a numerical study of the effect of changing the bright and dark soliton parameters. The solutions of our equation are computed in the form of rabidly convergent series with easily calculable components by using mathematica software package. Reliability of the method is given graphical consequens and series solutions are made use of to illustrate the solution. The found consequens show that the method is a power and efficient method in determination of solution the nonlinear Schrödinger equation. © 2017 Elsevier Gmb

The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers

Inc, Mustafa/0000-0003-4996-8373In this manuscript, the deterministic and stochastic nonlinear Schrodinger equation with time conformable derivative is analysed in birefrigent fibers. Hermite transforms, white noise analysis and the modified fractional sub-equation method are used to obtain white noise functional solutions for this equation. These solutions consists of exact stochastic hyperbolic functions, trigonometric functions and wave solutions

Solutions of the time fractional reaction-diffusion equations with residual power series method

WOS: 000386917900004In this article, the residual power series method for solving nonlinear time fractional reaction-diffusion equations is introduced. Residual power series algorithm gets Maclaurin expansion of the solution. The algorithm is tested on Fitzhugh-Nagumo and generalized Fisher equations with nonlinearity ranging. The solutions of our equation are computed in the form of rapidly convergent series with easily calculable components using Mathematica software package. Reliability of the method is given by graphical consequences, and series solutions are used to illustrate the solution. The found consequences show that the method is a powerful and efficient method in determination of solution of the time fractional reaction-diffusion equations."Research Center of the Center for Female Scientific and Medical Colleges," Deanship of Scientific Research, King Saud UniversityThe author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This research project was supported by a grant from the "Research Center of the Center for Female Scientific and Medical Colleges," Deanship of Scientific Research, King Saud University