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Method for realizing multi-soliton

A soliton and generation method technology, which is applied in the field of multi-soliton realization based on dimensional BG equations, can solve problems such as limitations, obstacles to the development of disciplines, and difficult analysis and research, and achieve the effects of convenient implementation, strong practicability, and simple and easy-to-understand methods

Inactive Publication Date: 2013-07-31
王少夫
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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.

Method used

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  • Method for realizing multi-soliton
  • Method for realizing multi-soliton

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Embodiment Construction

[0016] The technical solution adopted by the present invention to solve its technical problems is:

[0017] In order to facilitate the research on related issues of multi-soliton generation, the present invention introduces (2+1) dimensional BG equations:

[0018] ; (1)

[0019] where variable for function, the potential function of the solitary wave solution of equation (1) can be obtained as

[0020] ; (2)

[0021] in, yes any function of is the variable coefficient (1+1) dimensional equation solution. that is The function.

[0022] In the formula, is an arbitrary constant, the present invention adopts the projective expansion method, and obtains its precise clock solitary wave solution according...

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Abstract

The invention relates to a method for realizing multi-soliton based on a (2+1) dimension BG equation set, and belongs to the technical field of optical fiber communication. The method is characterized in that by introducing topology and nonlinear transformation, a nonlinear (2+1) dimension BG equation set can be studied, and some exact solutions of separate variable forms of a system can be constructed. By performing appropriate arbitrary function setting on potential functions of the solutions, different numbers of multi-soliton can be obtained. The problem that the multi-soliton is difficult to generate in an optical fiber communication technology is solved, and the method is concise and easy to understand, convenient to realize and high in practicability, can adjust relevant parameters according to a practical situation, provides powerful support for in-depth study in the field of optical fiber communication systems, and can promote the development of the multi-soliton.

Description

technical field [0001] The invention relates to a multi-soliton realization method based on (2+1) dimensional BG equations, and 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 BG equations, the projection method is an effective method to construct the exact solution of the nonlinear mathematical physics equation, and the linear traveling wave transformation in the projection ex...

Claims

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Application Information

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IPC IPC(8): H04B10/25
Inventor 不公告发明人
Owner 王少夫
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