pyGLLE: A Python toolkit for solving the generalized Lugiato–Lefever equation

Oliver Melchert; Ayhan Demircan

doi:10.1016/j.softx.2021.100741

pyGLLE: A Python toolkit for solving the generalized Lugiato–Lefever equation

Oliver Melchert^*
, Ayhan Demircan

^*Korrespondierende*r Autor*in für diese Arbeit

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Abstract

We present a Python toolkit for simulating the propagation dynamics of dissipative solitons in a variant of the Lugiato–Lefever equation (LLE) including dispersion terms of third and fourth order. In addition, the provided software allows to prepare initial conditions given by stationary localized solutions of the standard LLE in the anomalous group-velocity dispersion regime. Propagation scenarios for custom control parameters and initial conditions can be specified by the user via a simple class data structure. We demonstrate the implemented functionality by showing how to obtain stationary solutions of the standard LLE containing a dissipative soliton, and, demonstrating different characteristic propagation scenarios. The pyGLLE software package is open-source and released under the X11 License in a publicly available software repository.

Originalsprache	Englisch
Aufsatznummer	100741
Fachzeitschrift	SoftwareX
Jahrgang	15
Elektronisch veröffentlicht (E-Pub)	5 Juli 2021
DOIs	https://doi.org/10.1016/j.softx.2021.100741
Publikationsstatus	Veröffentlicht - Juli 2021

ASJC Scopus Sachgebiete

Software
Angewandte Informatik

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10.1016/j.softx.2021.100741Lizenz: CC BY 4.0

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Verknüpfung zur Publikation in Scopus

PhoenixD: Exzellenzcluster 2122/1: Photonics, Optics, and Engineering – Innovation Across Disciplines
Morgner, U. (Projektleiter*in (Principal Investigator)) & Overmeyer, L. (Leitende*r Forscher*in (Co-Principal Investigator))
1 Jan. 2019 → 31 Dez. 2025
Projekt: Forschung

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title = "pyGLLE: A Python toolkit for solving the generalized Lugiato–Lefever equation",

abstract = "We present a Python toolkit for simulating the propagation dynamics of dissipative solitons in a variant of the Lugiato–Lefever equation (LLE) including dispersion terms of third and fourth order. In addition, the provided software allows to prepare initial conditions given by stationary localized solutions of the standard LLE in the anomalous group-velocity dispersion regime. Propagation scenarios for custom control parameters and initial conditions can be specified by the user via a simple class data structure. We demonstrate the implemented functionality by showing how to obtain stationary solutions of the standard LLE containing a dissipative soliton, and, demonstrating different characteristic propagation scenarios. The pyGLLE software package is open-source and released under the X11 License in a publicly available software repository.",

keywords = "Dissipative solitons, Lugiato–Lefever equation, Nonlinear partial differential equations, Python",

author = "Oliver Melchert and Ayhan Demircan",

note = "Funding Information: We acknowledge support from the Deutsche Forschungsgemeinschaft (DFG), Germany under Germany{\textquoteright}s Excellence Strategy within the Cluster of Excellence PhoenixD (Photonics, Optics, and Engineering – Innovation Across Disciplines) (EXC 2122, projectID 390833453 ). The publication of this article was funded by the Open Access Fund of the Leibniz Universit{\"a}t Hannover . ",

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doi = "10.1016/j.softx.2021.100741",

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AU - Melchert, Oliver

AU - Demircan, Ayhan

N1 - Funding Information: We acknowledge support from the Deutsche Forschungsgemeinschaft (DFG), Germany under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (Photonics, Optics, and Engineering – Innovation Across Disciplines) (EXC 2122, projectID 390833453 ). The publication of this article was funded by the Open Access Fund of the Leibniz Universität Hannover .

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N2 - We present a Python toolkit for simulating the propagation dynamics of dissipative solitons in a variant of the Lugiato–Lefever equation (LLE) including dispersion terms of third and fourth order. In addition, the provided software allows to prepare initial conditions given by stationary localized solutions of the standard LLE in the anomalous group-velocity dispersion regime. Propagation scenarios for custom control parameters and initial conditions can be specified by the user via a simple class data structure. We demonstrate the implemented functionality by showing how to obtain stationary solutions of the standard LLE containing a dissipative soliton, and, demonstrating different characteristic propagation scenarios. The pyGLLE software package is open-source and released under the X11 License in a publicly available software repository.

AB - We present a Python toolkit for simulating the propagation dynamics of dissipative solitons in a variant of the Lugiato–Lefever equation (LLE) including dispersion terms of third and fourth order. In addition, the provided software allows to prepare initial conditions given by stationary localized solutions of the standard LLE in the anomalous group-velocity dispersion regime. Propagation scenarios for custom control parameters and initial conditions can be specified by the user via a simple class data structure. We demonstrate the implemented functionality by showing how to obtain stationary solutions of the standard LLE containing a dissipative soliton, and, demonstrating different characteristic propagation scenarios. The pyGLLE software package is open-source and released under the X11 License in a publicly available software repository.

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KW - Lugiato–Lefever equation

KW - Nonlinear partial differential equations

KW - Python

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pyGLLE: A Python toolkit for solving the generalized Lugiato–Lefever equation

Abstract

ASJC Scopus Sachgebiete

Zugriff auf Dokument

Andere Dateien und Links

Projekte

PhoenixD: Exzellenzcluster 2122/1: Photonics, Optics, and Engineering – Innovation Across Disciplines

Dieses zitieren