Application For The Coupled Nonlinear Schrodinger Equations In Optical Fibers

In the field of fiber communication,optical soliton theory and its application in communication have been one of the research topics of great concern in recent years.The basic theoretical model of optical pulse propagation in birefringent fiber is the coupled nonlinear Schrodinger equations.In this paper,two coupled nonlinear Schrodinger equations with variable coefficients are studied by new transformations via Hirota bilinear method in the background of optical fiber communication,which provides a theoretical basis to realize optical information transmission of ultra-high speed and large capacity.1.Firstly,the propagation of femtosecond pulse with high peak power in the birefringence fibers and inhomogeneous media is described by the generalized coupled higher-order nonlinear Schrodinger equations with variable coefficients.Secondly,temporal vector one-soliton and two-soliton solutions are obtained by Hirota bilinear method and Bell polynomial.Thirdly,intensity functions of soliton are obtained by assigning parameters of soliton solutions and intensity functions are numerically simulated by Maple.Finally,the characteristics of soliton and the influence of dispersion effect and nonlinear effect on soliton transmission are analyzed in the transmission process by evolution images.2.Firstly,(2+1)-dimensional coupled nonlinear Schrodinger equations with variable coefficients are introduced,which describe the propagation of beams with consideration of components in the two polarized direction in inhomogeneous nonlinear birefringent optical fibers.Secondly,spatial vector one-soliton and two-soliton solutions are obtained by Hirota bilinear method and Bell polynomial.Thirdly,intensity images of soliton are numerically analyzed by numerical simulation.The propagation characteristics of soliton and the influence of diffraction effect and nonlinear effect on soliton transmission are analyzed.Finally,rogue wave solutions of the equations are obtained,and propagation properties of rogue waves are analyzed.