Method for realizing multiple optical solitons in any space based on Schrodinger equation

Abstract

The invention relates to a method for realizing multiple optical solitons in any space based on a Schrodinger equation, belonging to the technical field of optical fiber communication. The method provided by the invention comprises the steps of: researching the variable-coefficient nonlinear Schrodinger equation through the introduction of topologic and nonlinear transformation and by the utilization of a variable separation method so as to structure a plurality of exact solutions in the variable separation form of the system; and obtaining a new oscillation soliton structure by setting any function in the solutions properly so as to obtain multiple optical solitons of any space. The method for realizing multiple optical solitons in any space based on the Schrodinger equation solves the problem that multiple solitions are difficult to realize in the optical fiber communication technology, is simple and easy to know, convenient to realize and strong in practicability, provides powerful support for deep research in the field of the optical fiber communication system through the adjustment of relevant parameters based on the practical condition, and promotes the development of the subject.

Description

technical field [0001] The invention relates to an arbitrary The invention discloses a method for realizing multiple optical solitons in space, which belongs to the technical field of optical fiber communication. Background technique [0002] Soliton structure excitation is an important research content in nonlinear science. If the solution of nonlinear physical equations contains arbitrary functions of related independent variables, through proper selection of arbitrary functions, rich local structures can be excited, and these local structures It can explain some nonlinear physical phenomena. Due to the limitation of dimension in nonlinear equations, it is very difficult to obtain solutions of low-dimensional equations containing arbitrary functions. [0003] For the study of (2+1)-dimensional nonlinear variable coefficient systems, the separation of variables method is an effective method to construct the exact solution of nonlinear mathematical physics equations, and t...

AI Technical Summary

Problems solved by technology

[0004] The method proposed by the invention solves any problem in the optical fiber communication technology The problem that multiple optical solitons in a space are difficult to realize, the method proposed by the present invention is simple and easy to understand, convenient to realize, and has strong practicability, and can adjust relevant parameters according to actual conditions, which provides strong support for in-depth research in the field of optical fiber communication systems, and will Promote the development of this discipline

Images