In the field of nonlinear optics, quantum mechanics, condensed matter physics, and wave
propagation in rigid and other nonlinear instability phenomena, the nonlinear Schrödinger …

A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule
and two kinds of fractional dual-function methods with the Mittag–Leffler function is …

In this communication, three different forms of fractional nonlinear Schrödinger equations
have been constructed based on the notion of nonlocal generalized fractional momentum …

In this article, we develop an analytical method for solving fractional order partial differential
equations. Our method is the generalizations of homotopy perturbations Laplace transform …

Fractional optical soliton solutions of the space-time fractional nonlinear Schrödinger
equation are obtained via three analytical methods, including fractional Riccati method …

A coupled space-time fractional nonlinear Schrödinger equation is solved by the fractional
Riccati method and fractional dual-function method. By choosing the appropriate values of …

The variable-coefficient fractional Y-expansion method is introduced, and some
nonautonomous soliton solutions for the variable-coefficient time and space factional …

The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation
and Schrodinger equation. We perform a new method to take some new solitary wave …

This paper deals with a nonlinear Schrödinger equation in the sense of conformable
derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory …

The fractional mapping equation method and fractional bi-function method are utilized to
study a (2+ 1)-dimensional space-time fractional nonlinear Schrödinger equation, and its …