Solution And Analyses For A Kind Of Soliton Transmission Equation In Optical Fiber

Optical fiber communications occupy a dominant position in the communications industry.Optical fiber communication using optical soliton to carry,transport,and disseminate information has the characteristics of large amount of transportation information,long distance,low loss,high efficiency and high speed;while under the ideal condition of no loss,optical soliton propagation in the propagation process of optical fiber communication can be expressed by nonlinear Schr?dinger Equation.The nonlinear Schr?dinger equation is an important equation in quantum mechanics.This paper mainly considers the general form of the nonlinear Schr?dinger equation.At the beginning,the Jacobi elliptic function method,the F-expansion method,the(G'/G)expansion method,and the homogeneous balance principle are used to carry out the traveling wave transformation and the solution of the equations.At the same time,several forms of exact solutions are obtained;On the basis of this,a more accurate method of expansion(G'/G,1/G)is used to solve the equations in detail and discuss the corresponding physical meanings.The main content of this article is as follows:In the first chapter,the development and trend of the optical fiber communication industry are introduced.The physical background of the nonlinear Schr?dinger equation in the fiber propagation model and the related research conditions are analyzed.The structure of this paper is given.In the second chapter,according to Maxwell's electromagnetic field theory,the related physical quantities are optimized,the Schr?dinger equation is established,and the establishment and development history of Schr?dinger equation are expounded.In the third chapter,we carry out the corresponding traveling wave transformation on the equations,transform the equations into ordinary differential equations,and use the Jacobi function method,the F expansion method,and the(G'/G)expansion method to solve the equations.When special values are used,Get the corresponding function image;In Chapter 4,the(G'/G,1/G)expansion method is used to solve the model equations and the corresponding physical meaning of the solution is analyzed.From the exact solution obtained,the physical interpretation in the process of soliton propagation is analyzed,which provides a direction for the optical fiber communication industry.The fifth chapter summarizes and discusses the full text and proposes deficiencies.The main point of this paper is to carry out the wavelet transform of nonlinear Schr?dinger equations,and then make different assumptions of formal solutions according to the properties of different forms.The solution is transformed into ordinary differential equations and nonlinear algebraic equations,and the original solution is obtained after the correlation solution is obtained.