Optical fiber system harmonic crystal lattice potential function multi-breather realization method

An implementation method and technology of optical fiber systems, which are applied in optical fiber transmission, optics, nonlinear optics, etc., can solve problems such as difficult analysis, hinder the development of disciplines, and limitations, and achieve simple and easy-to-understand methods, strong practicability, and convenient implementation. Effect

Inactive Publication Date: 2015-05-27
徐园园
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AI Technical Summary

Problems solved by technology

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

Method used

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  • Optical fiber system harmonic crystal lattice potential function multi-breather realization method
  • Optical fiber system harmonic crystal lattice potential function multi-breather realization method

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Embodiment Construction

[0015] The technical solution adopted by the present invention to solve its technical problems is:

[0016] In order to facilitate the research on the related issues of multi-breather generation, the present invention introduces the BEC lattice equation:

[0017] ; (1)

[0018] Through Riccati differential equation mapping and linear variable separation method, the solitary wave solution of equation (1) can be obtained as

[0019] (2)

[0020] In the formula, It is an elliptic integral function, and the present invention adopts Riccati differential equation mapping and linear variable separation method, and obtains its exact breathing sub-solution according to the BEC equation. When selecting parameters when, can produce The respiratory substructure of figure 1 As shown, when selecting parameters when, can produce The respiratory substructure of figure 2 shown.

[0021] ...

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Abstract

The invention relates to a multi-breather realization method of an optical fiber system harmonic crystal lattice potential function, and belongs to the technical field of optical fiber communications. The method comprises the following steps: researching a non-linear BEC crystal lattice equation through a Riccati differential equation and linear variables separation method, constructing a plurality of exact solutions in variables separation modes of the system; properly setting any function in the solution to obtain multi-breather in different numbers. The problem that the multi-breather is hard to produce in the optical fiber communication technology is solved, the method provided by the invention is simple and easy to understand, convenient for realization, and strong in practicability; related parameters can be adjusted according to actual conditions so as to provide powerful support for the deep research on the field of optical fiber communication system and promote the development of the subject.

Description

technical field [0001] The invention relates to a multi-breather realization method of a harmonic lattice potential function of an optical fiber system, belonging to the technical field of optical fiber communication. Background technique [0002] Excitation of breath substructure is an important research content in nonlinear science. If the solution of nonlinear physical equation contains any function of related independent variables, through proper selection of any function, rich local structures can be excited, and these local Structures can explain some nonlinear physical phenomena. Due to the limitation of dimensionality in nonlinear equations, it is very difficult to obtain solutions of low-dimensional equations with arbitrary functions. [0003] For the study of nonlinear BEC lattice potential equations, the projection method is an effective method to construct the exact solution of the nonlinear mathematical physics equation. The linear traveling wave transformation ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04B10/25G02F1/35
Inventor 徐园园
Owner 徐园园
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