Butterfly, S and W-shaped, parabolic, and other soliton solutions to the improved perturbed nonlinear Schrodinger equation

摘要

The improved perturbed nonlinear Schrodinger equation with parabolic law nonlinearity (IPNLSE-PLN) will be studied with the assistance of Hirota bilinear method (HBM) and sort out some new solitons and their interactions for our governing model. These interactions play a dominant role in the area of optical fiber and nonlinear optics. We will obtain butterfly, S and W-shaped, parabolic, dark and other solitary wave solutions (SWS) for our governing model. We will also apply sine-Gordon expansion (SGE) technique to our model and find some new SWSs.