Application Of Non-Autonomous Coupled Nonlinear Schrodinger Equation In Bose-Einstein Condensate And Optical Fiber Communication

Nonautonomous coupled nonlinear schrodinger equation is the most important in the modern science and is also one of the most common nonlinear model,in a bose Einstein condensation,nonlinear optics,plasma physics,have important applications in areas such as fluid dynamics,including bose Einstein condensation and the study of optical fiber communication has important scientific value and application prospect.In this paper,the background of the two common existing autonomous and nonautonomous soliton dynamics modeling for nonautonomous coupling nonlinear schrodinger equation,The soliton solution of the equation was obtained by a non-traditional method—reverse engineering method,and the soliton solution obtained by maple was presented on the image.Through the image,the soliton solution was analyzed and studied in a more specific and intuitive way.1.First introduces nonautonomous coupled nonlinear schrodinger equation of the bose—Einstein condensed matter physics background,this paper studies a nonautonomous under the framework of the average field theory coupled nonlinear schrodinger equation—GP equation.In this paper,the method of reverse engineering was adopted and combined with precise integrability conditions bright dark soliton solution of the equations is studied and the dark soliton solution,and the use of mathematical mapping software Maple density of the soliton solution of the corresponding soliton to carry on the numerical simulation analysis of the intensity function after the improvement methods,the image of higher peak,namely the soliton interaction strength more,This makes the weak interaction of soliton atoms in the bose-einstein condensation process relatively obvious,and makes it easier for us to observe the interaction of matter in the fifth state.2.First introduced in the field of optical fiber communication nonautonomous coupling nonlinear schrodinger equation,the equation described in non-uniform nonlinear birefringent fiber beam propagation along the two polarization direction of a set of parallel waveguides,and use a new analytical method which is called reverse engineering method obtained the nonautonomous coupled nonlinear schrodinger equation of bright and dark soliton solution;The intensity function was numerically simulated with Maple.After the improvement of the method,the amplitude and width attenuation of solitons in the image were smaller,indicating that solitons were more stable in the propagation process,that is,the propagation quality was higher.