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Realizing method of any number of solitons

An implementation method and soliton technology, applied in optical fiber transmission and other directions, can solve problems such as difficult analytical research, limitations, and hinder the development of disciplines, and achieve the effect of simple and easy-to-understand methods, convenient implementation, and strong practicability.

Inactive Publication Date: 2013-07-10
王少夫
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  • Abstract
  • Description
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Problems solved by technology

The research on multi-soliton generation methods with different numbers of array periods is very important for 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 corresponding disciplines.

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  • Realizing method of any number of solitons
  • Realizing method of any number of solitons
  • Realizing method of any number of solitons

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Embodiment Construction

[0019] The technical solution adopted by the present invention to solve its technical problems is:

[0020] For the convenience of research For the related issues of multi-soliton realization, the present invention introduces the cracking equation:

[0021] ; (1)

[0022] in

[0023] ; (2)

[0024] In the formula, for any arbitrary function.

[0025] Substituting (2) into (1), using the method of separating variables, let

[0026] (3)

[0027] with

[0028] (4)

[0029] in, is any seed solution of the rupture equation. for any constant. ...

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Abstract

The invention relates to a realizing method of any number of solitons and belongs to the technical field of optical communication. According to the realizing method of any number of solitons, certain exact solutions of a variables separation form are constructed by introducing topology and nonlinear transformation and utilizing a variables separation method and studying a nonlinearity rupture equation; and a novel oscillating soliton structure is obtained by carrying out proper setting on an arbitrary function in the solutions, and finally any number of solitons can be obtained by means of the Weierstrassp function. The realizing method of any number of solitons solves the problem that multiple solitons are hard to realize in the fiber optical communication technology. The realizing method of any number of solitons is concise and easy to understand, convenient to realize, strong in practicality, and adjustable in relevant parameters according to actual situations, provides powerful support for in-depth study of the optical fiber communication system field, and promotes development of the subject.

Description

technical field [0001] The present invention relates to any The invention discloses a method for realizing multiple 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 (2+1)-dimensional nonlinear coupled fracture systems, the separation of variables method is an effective method to construct the exact solution of nonlinear mathematical physics equations. Linear transformation, and...

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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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