A Study On The Derivative Nonlinear Schrodinger Soliton With Perturbations

The derivative nonlinear Schrodinger (DNLS) equation was first proposed to describe nonlinear Alfven wave in space plasma. Moreover, the propagation of the weak nonlinear electromagnetic waves in ferromagnetic media、antiferromagnetic media and dielectric with external magnetic field are modeled by the derivative nonlinear Schrodinger equation. The modified nonlinear Schrodinger (MNLS) equation describes subpicosecond or femtosecond pulse in single mode fiber has similarity with DNLS equation.For the optical fiber transmission, when the width of soliton is picosecond, the nonlinear Schrodinger (NLS) equation can describe well the propagation of it in optical fiber. However, when the width of soliton is femtosecond, the nonlinear dispersion is very important to the femtosecond pulse. Considering the higher-order nonlinear effect、higher order dispersion、 Raman effect and so on, the MNLS equation should be used to describe the soliton. Owing to the DNLS equation is equal to the MNLS equation by the similar gauge transformation and even simpler, this paper will study the propagation properties of femtosecond soliton by the DNLS equation.Firstly, this paper briefly introduces the concepts of soliton and the development history of the research on solitons, secondly, it introduces the DNLS equation and explains the validity and feasibility of the studies on it, then introduces the soliton perturbation theory, finally studies the adiabatic parameters evolution of DNLS equation soliton with the perturbations of third-order nonlinear effect、fifth-order nonlinear effect、fiber loss and so on. We draw the images of soliton transmission by matlab software, analyses the application prospect of DNLS optical soliton in communication networks.