On new analytical and semi-analytical wave solutions of the
quadratic-cubic fractional nonlinear Schrodinger equation
Abstract
This research paper discusses the analytical and semi-analytical
solutions of the quadratic–cubic fractional nonlinear Schrodinger (NLS)
equation. By applying a new fractional operator we transform the
fractional formula of the model to integer-order, which allows applying
the analytical and numerical methods on it. The analytical solutions are
obtained by the implementation of two distinct systematic schemes and
the reported solutions are used in applying the Adomian decomposition
method to get the semi-analytical wave solutions of this model. These
solutions are used to characterize the changes over time of a physical
system in which case of quantum influence, such as wave-particle
duality. The comparison between the analytical and semi-analytical
solutions are given to explain the accuracy of the obtained solutions.