Study of the complex Ginzburg–Landau equation with parabolic law nonlinearity by the complete discrimination system for polynomial method

In this paper, we use the complete discrimination system for polynomial method to study the complex Ginzburg–Landau equation with parabolic law nonlinearity. We firstly conduct the qualitative analysis to the equation, and show the existences of the soliton and the periodic solutions by the bifurcat...

Full description

Saved in:
Bibliographic Details
Published in:Optik (Stuttgart) 2022-05, Vol.257, p.168750, Article 168750
Main Author: Li, Yaxi
Format: Article
Language:English
Subjects:
Bifurcation method
Complete discrimination system for polynomial method
Qualitative analysis
Quantitative analysis
The complex Ginzburg–Landau equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we use the complete discrimination system for polynomial method to study the complex Ginzburg–Landau equation with parabolic law nonlinearity. We firstly conduct the qualitative analysis to the equation, and show the existences of the soliton and the periodic solutions by the bifurcation method. In order to verify our results, we adjust concrete parameters to give concrete examples. Besides, we also construct other solutions such as rational type solution and the elliptic function double periodic solutions, which makes our results more integrated. To the best of our knowledge, some of the results in the present paper are initially given.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2022.168750