BREATHER SOLITON INTERACTION IN TAPERED NON-KERR MEDIA

Abstract

Under investigation in this paper is an inhomogeneous tapered nonlinear schrödinger equation by including
cubic quintic term which is used to describe about the femtosecond pulse propagation in tapered Non-Kerr media. By
increasing the input intensity of pulse further the Kerr media tends to Non-Kerr media. Here we constructed Lax pair via
AKNS technique and after satisfying Lax pair the obtained equation is further analyzed by using Darboux transformation to
obtain two soliton solution. And here as the pulse is propagating in a tapered fiber pulse compression can be achieved.
Henceforth the results obtained in this paper will have a qualitative application for pulse compression in dispersion–
managed fiber.