Multi-soliton implementation method for optical fiber system

Abstract

The invention relates to a multi-soliton implementation method for an optical fiber system, and belongs to the technical field of optical fiber communication. The multi-soliton implementation method for the optical fiber system comprises the steps that a nonlinear KDV (Korteweg de vries) equation is researched through riccati differential equation mapping and a linear variable separation method, and some exact solutions, in a variable separation mode, of the optical fiber system are constructed; an arbitrary function in the solutions is appropriately set, and therefore different numbers of multi-solitions can be obtained. The problem that the multi-solitions cannot be easily generated in an optical fiber communication technology is solved. The multi-soliton implementation method for the optical fiber system is simple, easy to understand and convenient to implement and high in practicability, can conduct adjustment of relevant parameters according to the actual conditions, provides powerful support for the in-depth research in the field of optical fiber communication, and can prompt the development of the optical fiber communication subject.

Description

technical field [0001] The invention relates to a multi-soliton realization method based on the KDV equation of an optical fiber system, 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 the nonlinear KDV (Korteweg de vries) equation, the projection method is a kind of effective method to construct the exact solution of the nonlinear mathematical physics equation. The linear traveling wave t...

AI Technical Summary

Problems solved by technology

The research on different numbers of multi-soliton generation methods is very important for the in-depth research in the field of optical fiber communication. However, under normal circumstances, it is difficult to analyze and study, which seriously limits and hinders the development of the corresponding disciplines.

Images