Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

Multiple soliton achieving method based on Weierstrass function

An implementation method and soliton technology, which is applied in the field of multi-soliton realization based on Weierstrassp function, can solve problems such as difficult realization of multi-soliton, and achieve the effect of simple and easy to understand method, convenient implementation, and strong practicability

Inactive Publication Date: 2013-06-05
王少夫
View PDF0 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] The method proposed by the present invention solves the problem that many solitons are difficult to realize in the optical fiber communication technology, and the method proposed by the present invention

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Multiple soliton achieving method based on Weierstrass function
  • Multiple soliton achieving method based on Weierstrass function
  • Multiple soliton achieving method based on Weierstrass function

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0024] The technical solution adopted by the present invention to solve its technical problems is:

[0025] In order to facilitate the research on the related issues of multi-soliton generation, the present invention introduces the coupling equation:

[0026] ; (1)

[0027] in

[0028] ; (2)

[0029] In the formula, yes any function of .

[0030] Substitute (2) into (1), and press The powers of the same power are combined, and using the projection expansion method, we can get:

[0031] (3)

[0032] and

[0033] (4)

[0034] in, is any seed ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention relates to a multiple soliton achieving method based on Weierstrass function and belongs to the optical fiber communication technical field. The multiple soliton achieving method based on Weierstrass function comprises the following steps: by introducing topology and nonlinear transformation, taking advantage of a projecting equation method, studying a (2+1) dimensions nonlinear rupture equation, constituting some exact solutions in an isolating variable form of a system; acquiring a novel oscillating soliton structure by starting adequate set for an arbitrary function in the solutions, finally utilizing the Weierstrass function, and acquiring multiple solitons with different numbers. The multiple soliton achieving method based on Weierstrass function solves the problem that the multiple solitons are hard to achieve based on the actual condition. The multiple soliton achieving method based on Weierstrass function has the advantages of being simple, easy to understand, convenient to achieve, strong in practicality, capable of starting adjustment of relative parameters based on the actual condition, providing powerful support for a deep research of the optical fiber communication system field, and propelling the development of a principle.

Description

technical field [0001] The invention relates to a multi-soliton realization method based on Weierstrassp function, 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 projection method is a kind of effective method to construct the exact solution of the nonlinear mathematical physics equation, and the linear traveling wave transformatio...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
Patent Type & Authority Applications(China)
IPC IPC(8): H04B10/25
Inventor 不公告发明人
Owner 王少夫
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Patsnap Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Patsnap Eureka Blog
Learn More
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com