

Publisher: Edp Sciences
E-ISSN: 2271-2097|22|issue|01053-01053
ISSN: 2271-2097
Source: ITM Web of conferences, Vol.22, Iss.issue, 2018-10, pp. : 01053-01053
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this study, the (2+1)-dimensional cubic nonlinear Schrödinger equation with fractional temporal evolution is investigated by using the extended sinh-Gordon equation expansion method. The idea of conformable fractional derivative is used in transforming the complex nonlinear partial differential equation to nonlinear ordinary differential equation. Dark, bright, mixed dark-bright, singular, mixed singular solitons and singular periodic wave solutions are successfully reached. The parametric conditions for the existence of valid solitons are given. The 2D and 3D graphics to some of the reported solutions are plotted.
Related content


Fractional Schrödinger Equation in the Presence of the Linear Potential
Mathematics, Vol. 4, Iss. 2, 2016-05 ,pp. :


The Hydrodynamic Nonlinear Schrödinger Equation: Space and Time
By Chabchoub Amin Grimshaw Roger H. J.
Fluids, Vol. 1, Iss. 3, 2016-07 ,pp. :




Invariant Subspaces of the Two-Dimensional Nonlinear Evolution Equations
Symmetry, Vol. 8, Iss. 11, 2016-11 ,pp. :