Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:1708.01309 (nlin)
[Submitted on 3 Aug 2017 (v1), last revised 18 Aug 2018 (this version, v4)]

Title:Meromorphic Solutions of Modified Quintic Complex Ginzburg-Landau Equation

Authors:Herry F. Lalus, W. Hidayat, Meksianis Z. Ndii, Freddy P. Zen
View PDF
Abstract:In this paper, the meromorphic solution of the modified quintic complex Ginzburg-Landau equation (CGLE) is analysed. We found the general explicit solutions to the equation in three different forms, yield simply periodic, doubly periodic and rational solution. Firstly, this equation was transformed to nonlinear ordinary differential equation and then we solved it by using a powerful algorithm proposed by Demina and Kudryashov, based on the existence of Laurent series. Finally, we have the meromorphic solution of the equation, and to verify these solutions, we showed a special case which we constructed from the general form.
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1708.01309 [nlin.SI]
  (or arXiv:1708.01309v4 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.1708.01309

Submission history

From: Herry Lalus Mr. [view email]
[v1] Thu, 3 Aug 2017 20:59:38 UTC (15 KB)
[v2] Mon, 7 Aug 2017 01:46:42 UTC (15 KB)
[v3] Tue, 26 Jun 2018 09:54:36 UTC (16 KB)
[v4] Sat, 18 Aug 2018 14:58:22 UTC (16 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
nlin.SI
< prev   |   next >
new | recent | 2017-08
Change to browse by:
nlin

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)