Optical soliton solutions for the (1+1)-dimensional resonant nonlinear Schrondinger's equation arising in optical fibers

Abstract

Solitons which can be described as a localized wave form that maintain their shape after a collision with another soliton have became a very important phenomena in nonlinear optics due to their potential. They can be used as lossless information carriers in optical fibers due to their robustness arising from their particle grade stability upon a collision. Many scientists from various areas including electronic communication engineers have made solitons the main subject of study. Analytical solutions of nonlinear Schrodinger equation have a very important place in these studies. With the progress of nonlinear optics, some types of nonlinear Schrodinger equation have been derived for better understanding. Resonant nonlinear Schrodinger equation which is being used for describing nonlinear optical phenomena is a generic example for newly derived nonlinear Schrodinger equation. In this study, resonant nonlinear Schrodinger equation has been solved by using functional variable method and sixteen new soliton solutions have been obtained.