TY - JOUR
T1 - Cubic quintic Ginzburg Landau equation as a model for resonant interaction of EM field with nonlinear media
AU - Aleksić, Branislav N.
AU - Uvarova, Liudmila A.
AU - Aleksić, Najdan B.
AU - Belić, Milivoj R.
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020/3/1
Y1 - 2020/3/1
N2 - 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.
AB - 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.
KW - Cubic quintic Ginzburg Landau equation
KW - Resonant interaction
KW - Variational method
UR - http://www.scopus.com/inward/record.url?scp=85081725260&partnerID=8YFLogxK
U2 - 10.1007/s11082-020-02271-2
DO - 10.1007/s11082-020-02271-2
M3 - Article
AN - SCOPUS:85081725260
SN - 0306-8919
VL - 52
JO - Optical and Quantum Electronics
JF - Optical and Quantum Electronics
IS - 3
M1 - 175
ER -