The propagation of optical beams in nonlocal nonlinear media is modeled by the nonlocal nonlinear Schrdinger equation.

First,we analyzed nonlinear schrodinger equation by split-step Fourier transform method(SSFM).

In this paper,several study methods on PMD are analyzed,such as Jones matrix,Stokes vector and the coupled nonlinear Schrodinger equation.

The method is based on the construction of a certain complete integrable finite-dimensional dynamical system, Whose solutions determine the exact solutions of nonlinear Schrodinger equation.

The nonlinear Schrdinger equation with time-dependent linear potential is discussed,and the exact N-soliton solutions are presented by employing the Darboux transformation method.

In this article, the authors investigate the non existence of a class of homoclinic orbits to the Stokes waves for a perturbed nonlinear Schrdinger equation.

Based on the modified nonlinear Schrdinger equation expressing the solitons transmission,studied are the interaction of solitons and their dispersion-managed transmission in dispersion-shifted fibers under Kerr coefficient distributing randomly by making use of symmetrical slit-step Fourier numerical method.

Through solving the nonlinear Schrdinger equation,the propagation variation of B integral of Nd:glass in high power laser system is numerically simulated.

A family of exact solutions of the one-dimensional nonlinear Schrdinger equation is derived, which describes the dynamics of a bright soliton in Bose-Einstein condensates with the time-dependent interatomic interaction in an expulsive parabolic potential.

By using the fractional transformation method, the exact solutions of the higher-order nonlinear Schrodinger equation are obtained which included Jacobian elliptic function solution and new solitary wave solution.