The novel soliton solutions for the conformable perturbed nonlinear Schrodinger equation

The sub-equation method is implemented to construct exact solutions for the conformable perturbed nonlinear Schrodinger equation. In this paper, we consider three different types of nonlinear perturbations: The quadratic-cubic law, the quadratic-quartic-quintic law, and the cubic-quintic-septic law. The properties of the conformable derivative are discussed and applied with the help of a suitable wave transform that converts the governing model to a nonlinear ordinary differential equation. Furthermore, the order of the expected polynomial-type solution is obtained using the homogeneous balancing approach. Dark and singular soliton solutions are derived.

Automated summary

The sub-equation method is used to study exact solutions for the conformable perturbed nonlinear Schrodinger equation. The properties of the conformable derivative are discussed and a suitable wave transform is applied to convert the model into a nonlinear ordinary differential equation. The order of the expected solution is determined using the homogeneous balancing approach, and dark and singular soliton solutions are obtained.