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Implementation method of single-row multiple solitons

A multi-soliton and soliton technology, applied in the field of realization of single row multi-solitons based on the fifth-order variable system KDV equation, can solve problems such as obstacles to the development of disciplines, limitations, and difficult analytical research, and achieve strong practicability, convenient implementation, and simple and easy-to-understand methods Effect

Inactive Publication Date: 2013-07-24
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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  • Implementation method of single-row multiple solitons
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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 fifth-order variable system KDV equation:

[0020] ; (1)

[0021] where variable for time function, the solitary wave solution of equation (1) can be obtained as

[0022] ; (2)

[0023] in,

[0024] (3)

[0025] , (4)

[0026] In the formula, it's time Any function of , the present invention adopts the projective expansion method, and obtains its precise clock solitary wave solution according to the fifth-order variable system KDV equation (1). ...

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Abstract

The invention relates to an implementation method of single-row multiple solitons based on a fifth order variant system Korteweg-de vires (KDV) equation, and belongs to the technical field of fiber optical communications. According to the implementation method of the single-row multiple solitons, topology and nonlinear transformation are introduced and a projecting expanding method is used to study the nonlinear fifth order variant system KDV equation, and thus a plurality of separated variable formed exact solutions of the fifth order variant system are obtained. Multiple solitons of different numbers in one row are obtained by setting any arbitrary function in the solutions properly, and the problem that multiple solitons are difficult to produce in fiber optical communication technology is solved. The implementation method of the single-row multiple solitons is simple, easy to understand, convenient to achieve and practical. Relative parameters can be adjusted according to actual conditions, and the implementation method supplies powerful support for deep study in the field of a fiber optical communication system and promotes the development of the fiber optical communication technology.

Description

technical field [0001] The invention relates to a single-row multi-soliton realization method based on a fifth-order variable system KDV equation, 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 the KDV equation of the fifth-order variable system, the projection method is an effective method to construct the exact solution of the nonlinear mathematical physics equation. The linear traveling ...

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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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