Solitons in nonlinear optics
AI Maimistov - Quantum electronics, 2010 - iopscience.iop.org
The classic examples of optical phenomena resulting in the appearance of solitons are self-
focusing, self-induced transparency, and parametric three-wave interaction. To date, the list …
focusing, self-induced transparency, and parametric three-wave interaction. To date, the list …
Optical solitons in presence of Kerr dispersion and self-frequency shift
K Porsezian, K Nakkeeran - Physical review letters, 1996 - APS
We consider the higher order nonlinear Schrödinger (HNLS) equation describing nonlinear
wave propagation in light guides with all higher order effects such as higher order …
wave propagation in light guides with all higher order effects such as higher order …
Rogue waves of the Hirota and the Maxwell-Bloch equations
In this paper, we derive a Darboux transformation of the Hirota and the Maxwell-Bloch (H-
MB) system which is governed by femtosecond pulse propagation through an erbium doped …
MB) system which is governed by femtosecond pulse propagation through an erbium doped …
Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell–Bloch equations
L Wang, X Li, FH Qi, LL Zhang - Annals of Physics, 2015 - Elsevier
Under investigation in this paper are the inhomogeneous nonlinear Schrödinger Maxwell–
Bloch (INLS-MB) equations which model the propagation of optical waves in an …
Bloch (INLS-MB) equations which model the propagation of optical waves in an …
-order bright and dark rogue waves in a resonant erbium-doped fiber system
J He, S Xu, K Porsezian - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
The rogue waves in a resonant erbium-doped fiber system governed by a coupled system of
the nonlinear Schrödinger equation and the Maxwell-Bloch equation (NLS-MB equations) …
the nonlinear Schrödinger equation and the Maxwell-Bloch equation (NLS-MB equations) …
[HTML][HTML] Integrable (2+ 1)-dimensional spin models with self-consistent potentials
R Myrzakulov, G Mamyrbekova, G Nugmanova… - Symmetry, 2015 - mdpi.com
Integrable spin systems possess interesting geometrical and gauge invariance properties
and have important applications in applied magnetism and nanophysics. They are also …
and have important applications in applied magnetism and nanophysics. They are also …
Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity
We construct certain higher order smooth positon and breather positon solutions of an
extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize …
extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize …
Periodic and solitary waves in an inhomogeneous optical waveguide with third-order dispersion and self-steepening nonlinearity
VI Kruglov, H Triki - Physical Review A, 2021 - APS
We demonstrate the formation of periodic waves and envelope solitons in dispersive optical
media having a Kerr nonlinear response under the influence of third-order dispersion and …
media having a Kerr nonlinear response under the influence of third-order dispersion and …
Optical Solitons in -Coupled Higher Order Nonlinear Schrödinger Equations
K Nakkeeran, K Porsezian, PS Sundaram… - Physical review …, 1998 - APS
We consider the coupled higher order nonlinear Schrödinger (CHNLS) equations which
govern the propagation of the fields in a birefringent fiber with all higher order effects like the …
govern the propagation of the fields in a birefringent fiber with all higher order effects like the …
[HTML][HTML] Superregular breathers and state transitions in a resonant erbium-doped fiber system with higher-order effects
L Wang, X Wu, HY Zhang - Physics Letters A, 2018 - Elsevier
In this paper, we concentrate on the Hirota and Maxwell-Bloch (HMB) system governing the
propagation of the femtosecond pulse in an erbium doped fiber. We present the …
propagation of the femtosecond pulse in an erbium doped fiber. We present the …