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 …

Quartic and dipole solitons in a highly dispersive optical waveguide with self-steepening nonlinearity and varying parameters

VI Kruglov, H Triki - Physical Review A, 2020 - APS
We show theoretically that highly dispersive optical media characterized by a Kerr nonlinear
response may support the existence of quartic and dipole solitons in the presence of the self …

Propagation of dipole solitons in inhomogeneous highly dispersive optical-fiber media

H Triki, VI Kruglov - Physical Review E, 2020 - APS
We consider ultrashort light pulse propagation through an inhomogeneous monomodal
optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a …

Propagation properties of dipole-managed solitons through an inhomogeneous cubic–quintic–septic medium

A Messouber, H Triki, F Azzouzi, Q Zhou, A Biswas… - Optics …, 2018 - Elsevier
The presence of inhomogeneities in an optical nonlinear material may significantly change
the physical features of propagating envelopes. In this paper, we discuss the propagation of …

Wave train generation of solitons in systems with higher-order nonlinearities

A Mohamadou, CG LatchioTiofack, TC Kofané - Physical Review E—Statistical …, 2010 - APS
Considering the higher-order nonlinearities in a material can significantly change its
behavior. We suggest the extended nonlinear Schrödinger equation to describe the …

RETRACTED: An analytical approach to soliton of the saturable non-linear Schrödinger equation determination and consideration of stability of solitary solutions of …

B Adib, A Heidari, SF Tayyari - 2009 - Elsevier
Non-linear Schrödinger equation for optical medias with saturable non-linear refractive
index is obtained and numerical calculation method is applied and soliton solution in …

Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity

S Konar, S Jana - Optics communications, 2004 - Elsevier
This paper presents an investigation on linear and nonlinear propagation of sinh-Gaussian
pulses in a dispersive medium possessing Kerr nonlinearity. First, the effects of group …

Bright and dark spatial solitons in non-Kerr media

YS Kivshar - Optical and Quantum Electronics, 1998 - Springer
An overview of the theory of self-guided optical beams, spatial optical solitons supported by
non-Kerr non-linearities, is presented. This includes bright and dark solitons in optical media …

Oscillatory behavior of spatial solitons in two-dimensional waveguides and stationary temporal power law solitons in optical fibers

S Crutcher, A Biswas, MD Aggarwal… - Journal of …, 2006 - Taylor & Francis
The one-particle type temporal soliton exists by maintaining a balance between dispersive
linear contributions on the one hand and non-linear effects on the other. The linear …

Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects

H Triki, Y Sun, Q Zhou, A Biswas, Y Yıldırım… - Chaos, Solitons & …, 2022 - Elsevier
We study the propagation dynamics of extremely short light pulses in an optical fiber
medium exhibiting a plethora of higher-order dispersive and nonlinear effects of different …