Generation and categories of solitons in various mode-locked fiber lasers

B Gao, RH Zhang, JY Huo, CY Ma, Y Han, QR Hou… - Optik, 2020 - Elsevier
Optical solitons generated from fiber lasers have been extensively investigated for their
good stability, narrow pulse width and high peak power, which play an indispensable role in …

Nonautonomous solitons in modified inhomogeneous Hirota equation: soliton control and soliton interaction

MS Mani Rajan, A Mahalingam - Nonlinear Dynamics, 2015 - Springer
We have investigated the femtosecond soliton propagation in inhomogeneous fiber, which is
described by the modified inhomogeneous Hirota equation with variable coefficient (MIH …

Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber

SS Veni, MSM Rajan - Chaos, Solitons & Fractals, 2021 - Elsevier
We obtain the exact two and three soliton solutions for higher order NLS equation with
variable coefficients using Darboux transformation method with some algebraic …

Chirped and chirp-free self-similar cnoidal and solitary wave solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients

C Dai, Y Wang, C Yan - Optics Communications, 2010 - Elsevier
By means of the similarity transformation connecting with the solvable stationary cubic-
quintic nonlinear Schrödinger equation (CQNLSE), we construct explicit chirped and chirp …

Rogue wave solutions to the generalized nonlinear Schrödinger equation with variable coefficients

WP Zhong, MR Belić, T Huang - Physical Review E—Statistical, Nonlinear, and …, 2013 - APS
A similarity transformation is utilized to reduce the generalized nonlinear Schrödinger (NLS)
equation with variable coefficients to the standard NLS equation with constant coefficients …

Analytical solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrödinger equation with different external potentials

JR He, HM Li - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
A large family of analytical solitary wave solutions to the generalized nonautonomous cubic-
quintic nonlinear Schrödinger equation with time-and space-dependent distributed …

On multi-fusion solitons induced by inelastic collision for quasi-periodic propagation with nonlinear refractive index and stability analysis

HI Abdel-Gawad, M Tantawy, M Inc… - Modern Physics Letters …, 2018 - World Scientific
In this paper, the two-and three-soliton propagation of Sharma–Tasso–Olver (STO) equation
for inhomogeneous media (with a variable-coefficient) are obtained. It is shown, due to the …

Solitary wave pulses in optical fibers with normal dispersion and higher-order effects

WJ Liu, B Tian, HQ Zhang, T Xu, H Li - Physical Review A—Atomic, Molecular …, 2009 - APS
Various types of solitary wave pulses are obtained theoretically based on the analytic
solutions for the higher-order nonlinear Schrödinger equation. Different from the previous …

Analytical nonautonomous soliton solutions for the cubic–quintic nonlinear Schrödinger equation with distributed coefficients

J Zhang, M Zhang, C Dai - Optics Communications, 2012 - Elsevier
In this paper, we find the exact bright, dark and gray analytical nonautonomous soliton
solutions of the generalized CQNLSE with spatially inhomogeneous group velocity …

Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity

H Triki, VI Kruglov - Chaos, Solitons & Fractals, 2021 - Elsevier
We study the propagation of one-dimentional optical beams in a weakly nonlocal medium
exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the …