Published March 11, 2020
| Version v1
Journal article
Cubic quintic Ginzburg Landau equation as a model for resonant interaction of EM field with nonlinear media
- 1. Weill Cornell Medicine Qatar (Qatar)
- 2. University of Belgrade. Institute of Physics Belgrade (Serbia)
- 3. Moscow State Technological University "STANKIN" (Russian Federation)
- 4. Texas A&M University at Qatar (Qatar)
Description
In this work, we investigate the possibility of approximating saturable nonlinearity, which is commonly used in complex Ginzburg–Landau equation (CGLE) for modelling resonant interaction of an electromagnetic field with nonlinear media, with cubic-quintic (CQ) nonlinearity. To validate the suggested approximations, we use variational method to estimate 2D analytical solutions of the CGLE with both saturable and CQ nonlinearity. The paper compares three ways to determine parameters of the CQ approximation and discusses the obtained results in terms of accuracy.
Additional details
Identifiers
Publishing Information
- Journal Title
- Optical and Quantum Electronics
- Journal Volume
- 52
- Journal Issue
- 3
- Journal Page Range
- vp.
- ISSN
- 0306-8919
- CODEN
- OQELDI
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 55106501
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCURACY; ANALYTICAL SOLUTION; APPROXIMATIONS; COMPARATIVE EVALUATIONS; CONTINUED FRACTIONS; DYNAMICAL SYSTEMS; ELECTROMAGNETIC FIELDS; EQUATIONS; EVOLUTION EQUATIONS; INTEGRAL EQUATIONS; INTERACTIONS; NONLINEAR PROBLEMS; SIMULATION; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; EVALUATION; MATHEMATICAL SOLUTIONS
Optional Information
- Copyright
- Copyright (c) 2020 © The Author(s) 2020