New analytic solutions of nonlinear Schrdinger equation for optic fiber
1.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Department of Basic Courses, Nanjing Institute of Technology, Nanjing, Jiangsu 211167, China
Abstract：Based on extended Jacobi elliptic functions expansion method and mapping expansion method, the variable coefficient nonlinear Schrdinger equation for optic fiber was investigated by the general mapping expansion method. With the aid of Mathematica software, plenty of new soliton analytical solutions were obtained to discuss the soliton solutions under nonchirp case. Besides many known solutions of bright dark and solitonlike solutions, some new Jacobilike elliptic function solutions were obtained which were generated to solitonlike solutions and single trianglelike function solutions in limit cases. The dispersion managed method for the basic soliton solution was also discussed. The results show that many index of the optical signal can be controlled by the coefficient of second order dispersion term. The envelope soliton solutions of optical fiber system with periodic gain or loss were discussed with many meaningful results.
2013, Vol. 34 
