Optical solitons and Peregrine solitons for nonlinear Schrodinger equation by variational iteration method

The current study is dedicated for operating the variational iteration method (VIM) to the self focusing nonlinear Schrodinger (NLS) equation. Consequently, optical solitons and singular soliton solutions are formally derived. The VIM, representing the resultant solution in a series structure, does not require linearization of the equation and accelerates the convergence of resultant solution. The presented analysis shows the pertinent features of this method. Furthermore, the powerful (G'/G(2))-expansion method has been adopted for the aforementioned equation for culminating hyperbolic, trigonometric and rational function solutions with rich mathematical structures, leading to diverse types of solitons.