Physics

Nonlinear system

Mathematics

Schrödinger equation

Evolutionary biology

Nonlinear Schrödinger equation

Biology

Statistical physics

Wave function

Mathematical analysis

Function (biology)

Schrödinger's cat

Quantum mechanics

Classical mechanics

Quantum

Soliton

AIP Advances

This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger equation through the modified Khater method. This method is considered one of the most recent accurate analytical schemes in nonlinear evolution equations where it obtained many distinct forms of solutions of the considered model. The investigated model in this paper is an icon in quantum fields where it describes the wave function or state function of a quantum-mechanical system. The physical characterization of some obtained solutions in our study is explained through sketching them in two- and three-dimensional contour plots. The novelty of our study is clear by showing the matching between our solutions and those that have been constructed in previously published papers.

Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method