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Multi-soliton implementing method based on Nizhnik-Novikov-Veselov (NNV) equation

A technology for implementing methods and equations, applied in the direction of optical fiber transmission, etc., can solve problems such as limitations, hinder the development of disciplines, and difficult to analyze research, and achieve the effect of convenient implementation, strong practicability, and simple and easy-to-understand methods.

Inactive Publication Date: 2013-05-22
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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  • Multi-soliton implementing method based on Nizhnik-Novikov-Veselov (NNV) equation
  • Multi-soliton implementing method based on Nizhnik-Novikov-Veselov (NNV) equation
  • Multi-soliton implementing method based on Nizhnik-Novikov-Veselov (NNV) equation

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Embodiment Construction

[0018] The technical solution adopted by the present invention to solve its technical problems is:

[0019] In order to facilitate the research on the related issues of multi-soliton generation, the present invention introduces the nonlinear Nizhnik-Novikov-Veselov (NNV) equation:

[0020] ; (1)

[0021] (2)

[0022] In the formula, is a non-zero constant.

[0023] Using the function mapping method and variable separation method, the analytical solution of equation (1) can be expressed as

[0024] (3)

[0025] (4)

[0026] In the formula, for about any function of its about any function of .

[0027] when function Take different functions, parameters ...

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Abstract

The invention relates to a multi-soliton implementing method based on a Nizhnik-Novikov-Veselov (NNV) equation and belongs to the technical field of optical fiber communication. The method includes researching a nonlinear NNV equation by introducing topology and nonlinear transformation and using a function mapping method and variable separation method, and constructing some accurate results in the form of separation variables of the system. Novel oscillation soliton structures are obtained by appropriately arranging any function in the results, and then different numbers of multiple solitons can be obtained by arranging different parameters, so that the problem that multiple solitons are hard to achieve in optical fiber communication technologies is effectively solved; and the method is simple, easy to understand, convenient to implement, high in practicability, and capable of adjusting relevant parameters according to practical conditions, providing strong support for deep research in the field of optical fiber communication systems, and promoting development of the subject.

Description

technical field [0001] The invention relates to a multi-soliton realization method based on NNV equation, belonging 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, the function mapping method and the variable separation method are two effective methods for constructing the exact solution of nonlinear mathematical physics equations. For the nonlinear transformation of any function, and...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04B10/25
Inventor 不公告发明人
Owner 王少夫
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