First integrals and general solution of the complex Ginzburg-Landau equation

Nikolay A. Kudryashov

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: The complex Ginzburg-Landau equation is considered using the traveling wave reduction. The first integral for the system of nonlinear differential equations is found. The first integrals is used to reduce the system of equations to the second-order ordinary differential equation. The general solutions for the five constraints on the parameters of the original complex Ginzburg-Landau equation are given. All these solutions are expressed via the Weierstrass and the Jacobi elliptic functions.

Keywords: Complex Ginzburg-Landau equation; First integral; General solution; Soliton, (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300320303696
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320303696

DOI: 10.1016/j.amc.2020.125407

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().