Solitary and periodic pattern solutions for time-fractional generalized nonlinear Schrödinger equation

Abstract

In this study, the fractional variational iteration method using He’s polynomials is employed for constructing semi-analytical solutions of the fractional-in-time generalized nonlinear Schrödinger equation involving Jumarie’s modified Riemann–Liouville derivative. As a result, we obtain the solutions of the original problems in the forms of convergent series that are calculated easily. Our calculation results indicate that the method is quite efficient and convenient for these problems.

Keywords

• fractional variational iteration method
• fractional differential equation
• modified riemann–liouville derivative
• generalized nonlinear schrödinger equation