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Method of producing N multi-solitons

A generation method and soliton technology, applied in the direction of optical fiber transmission, etc., can solve the problems of difficult analysis, hinder the development of disciplines, limitations, etc., and achieve the effect of simple and easy-to-understand method, strong practicability, and convenient implementation.

Inactive Publication Date: 2013-06-19
王少夫
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  • Description
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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.

Method used

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  • Method of producing N multi-solitons
  • Method of producing N multi-solitons
  • Method of producing N multi-solitons

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Embodiment Construction

[0025] The technical solution adopted by the present invention to solve its technical problems is:

[0026] In order to facilitate the research on the related issues of multi-soliton generation, the present invention introduces the variable coefficient equation:

[0027]

[0028] In the formula, f, h, f 1 , f 2 Is about the function of (x, t), the present invention adopts the function transformation method, variable coefficient equation (2) can be transformed into

[0029] EΦ+U XX -G 1 |Φ| 2 Φ-G 2 |Φ| 4 Φ=0 (2)

[0030] where Φ(X) is the solution of equation (2), For the solution of equation (3), through the following transformation:

[0031]

[0032] Then define the function r(t, x)=ρ(t, x)e iφ(t，x) , can get f, h, f 1 , f 2 The expressions are

[0033] f ( t , x ) = 1 γ X ...

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Abstract

The invention relates to a method of producing N multi-solitons and belongs to the technical field of optical fiber communication. The method can be used for constructing exact solutions of variables separations of a system by that topology and nonlinear transformation are introduced, functional transformation methods are utilized, and nonlinearity rupture equations are researched. New oscillation soliton structures are obtained by that an arbitrary function in solutions is suitably set. Finally, the multi-solitons with different numbers are obtained by utilizing sinusoidal functions. The method of producing the N multi-solitons is concise, easy to understand and high in practicability. The method of producing N multi-solitons adjusts relevant parameters according to realistic conditions, offers powerful supports to optical fiber communication system field research, and promotes development of the discipline.

Description

technical field [0001] The invention relates to a method for generating N multi-solitons, 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 nonlinear systems with variable coefficients, the transformation method is an effective method for constructing exact solutions of nonlinear mathematical physics equations. The nonlinear transformation of arbitrary functions and the construction of exact...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04B10/25
Inventor 王少夫
Owner 王少夫
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