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Multi-soliton implement method based on simultaneous schrodinger equation

A realization method and technology of optical solitons, applied in optical fiber transmission, electromagnetic wave transmission system, electrical components, etc., can solve problems that hinder the development of disciplines, difficult to analyze research, limitations, etc., and achieve strong practicability, simple and easy-to-understand methods, and convenient implementation Effect

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

The research on the realization method of different numbers of multi-optical solitons 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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  • Multi-soliton implement method based on simultaneous schrodinger equation
  • Multi-soliton implement method based on simultaneous schrodinger equation
  • Multi-soliton implement method based on simultaneous schrodinger equation

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Embodiment Construction

[0017] The technical solution adopted by the present invention to solve its technical problems is:

[0018] In order to facilitate the study of related issues related to the realization of multiple solitons, the present invention introduces the simultaneous Schrödinger equation:

[0019] ; (1)

[0020] ; (2)

[0021] In the formula, is a constant. Riccati equation mapping method of the present invention, according to simultaneous Schrödinger equation (1), (2), can draw its exact soliton solution:

[0022] (3)

[0023] (4)

[0024] Define the Weierstrassp function as:

[0025] ...

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Abstract

The invention relates to a multi-soliton implement method based on a simultaneous schrodinger equation, and belongs to the technical field of optical fiber communication. According to the multi-soliton implement method, through introduction of topologies and nonlinear transformation and by utilization of a Riccati equation mapping method, the simultaneous schrodinger equation is researched to construct a precise solution of a system. Through proper setting for an arbitrary function in an equation analytical solution, a novel oscillating soliton structure is obtained, and eventually multi-solitons of different numbers can be obtained by utilization of a Weierstrassp function. The problem that the multi-solitons are difficult to generate in the optical fiber communication technology is solved. The multi-soliton implement method based on the simultaneous schrodinger equation is simple, easy to understand, convenient to implement, strong in practicability, and capable of being adjustable in relevant parameters according to actual situations, providing powerful support for in-depth study of the filed of optical fiber communication systems and promoting the development of the subject.

Description

technical field [0001] The invention relates to a multi-optical soliton realization method based on simultaneous Schrödinger 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 simultaneous Schrödinger equations, the Riccati equation mapping method is an effective method for constructing exact solutions of nonlinear mathematical physics equations. The linear traveling wave transformat...

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Application Information

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IPC IPC(8): H04B10/25H04B10/508
Inventor 不公告发明人
Owner 王少夫
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