Font Size: a A A

The Research For Nonlinear Tunneling Of Solitons In Nonlinear Schr(?)dinger Equations

Posted on:2021-09-06Degree:MasterType:Thesis
Country:ChinaCandidate:Q LiuFull Text:PDF
GTID:2530306920998899Subject:Basic mathematics
Abstract/Summary:
In rencent years,optical soli ton communication system is more and more important to people’s life in the field of optical fiber communication.In order to improve the bit rate transmission capability of optical fiber communication system,it is necessary to combine soliton data transmission with wavelength division multiplexing.In order to realize wavelength division multiplexing,nonlinear tunneling of optical soliton needs to be considered.In this paper,Hirota bilinear method is used to study the nonlinear tunneling of solitons passing through nonlinear and dispersion barriers in nonlinear tunneling effect models.1.Nonlinear tunneling of solitons in the three coupled variable coefficients nonlinear Schrodinger equation is studied.Firstly,Hirota bilinear method is used to obtain the single and double soliton solutions of this equation.Secondly,the strength function of soliton is obtained by the parameter value of soliton with and without exponential background,and the strength function of soliton is plotted by Maple.Finally,nonlinear tunneling of solitons passing through nonlinear and dispersion barriers is analyzed based on the evolution image of soliton.2.Nonlinear tunneling of soliton in the coupled fourth-order variable coefficients nonlinear Schrodinger equation is studied.Firstly,Hirota bilinear method is used to obtain the single and double soliton solutions of this equation.Secondly,the strength function of soliton is obtained by the parameter value of soliton,and the strength function of soliton is plotted by Maple.Finally,nonlinear tunneling of solitons passing through nonlinear and dispersion barriers is analyzed based on the evolution image of soliton.
Keywords/Search Tags:coupled nonlinear Schrodinger equations with variable coefficients, Hirota bilinear method, nonlinear tunneling effect
Related items