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 …

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 …

Rogue waves of the Hirota and the Maxwell-Bloch equations

C Li, J He, K Porsezian - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
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 …

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 …

-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) …

[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 …

Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity

S Monisha, NV Priya, M Senthilvelan… - Chaos, Solitons & …, 2022 - Elsevier
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 …

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 …

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 …

[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 …