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Novel multi-soliton realizing method

A multi-soliton and soliton technology, applied in the field of optical fiber communication, can solve problems such as limitations, difficult analytical research, hindering the development of disciplines, etc., to achieve the effect of convenience and practicability

Inactive Publication Date: 2013-12-25
王少夫
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  • Application Information

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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.

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Embodiment Construction

[0022] In order to facilitate the research on the related issues of multi-soliton generation, the present invention introduces the Schrödinger equation (1) equation:

[0023] ; (1)

[0024] Where the variable a is a real number, the solitary wave solution of equation (1) can be obtained as

[0025] d1=b / a*(sqrt(1-b^2))*(exp(-4*a*t)-1);

[0026] d2=2*sqrt(1-b^2)*x.*exp(-2*a*t);

[0027] A1=(1-2*b^2)*cosh(d1)-2*i*b*sqrt(1-b^2)*sinh(d1)+b*cos(d2);

[0028] A2=cosh(d1)-b*cos(d2);

[0029] A3=exp(1 / (2*a)*i*(1+a^2*x.^2-exp(-4*a*t))-2*a*t);

[0030] U=(A1 / A2)*A3

[0031] In the formula, a and b are constants, and the present invention adopts the projective expansion method, and obtains its precise clock solitary wave solution according to the Schrödinger equation (1).

[0032] When a and b select different values, different numbers of multi-soliton structures can be generated.

[0033] In a word, the method proposed by the present invention solves the problem that multi-...

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Abstract

The invention relates to a method for realizing multi-soliton structures including different numbers of solitons based on the Schrodinger equation and belongs to the technical field of optical fiber communication. According to the method, the nonlinear Schrodinger equation can be studied by introducing topology and nonlinear transformation to construct certain exact solutions of a system in the type of separation of the variables; the multi-soliton structures with different numbers of solitons in different rows can be obtained by proper setting of arbitrary functions in the solutions; the problem that the multi-soliton structures are hard to generate in the optical fiber communication technique is solved. The method is simple, easy to understand, convenient to realize, and strong in practicality. Adjustment of relevant parameters can be achieved according to actual situations, strong support is provided for deep research of the optical fiber communication field, and the development of the optical fiber communication field is promoted.

Description

technical field [0001] The invention relates to a multi-soliton realization method based on the Schrödinger equation, 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 Schrödinger equation, the projection method is an effective method to construct the exact solution of the nonlinear mathematical physics equation. The linear traveling wave transformation in the projection expansion method...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04B10/508
Inventor 不公告发明人
Owner 王少夫
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