Chirped femtosecond pulses in the higher-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic–quintic–septic nonlinearities

H Triki, A Biswas, D Milović, M Belić - Optics communications, 2016 - Elsevier
We consider a high-order nonlinear Schrödinger equation with competing cubic–quintic–
septic nonlinearities, non-Kerr quintic nonlinearity, self-steepening, and self-frequency shift …

Solitary wave solutions and modulation instability analysis of the nonlinear Schrodinger equation with higher order dispersion and nonlinear terms

M Saha, AK Sarma - Communications in Nonlinear Science and Numerical …, 2013 - Elsevier
We report exact bright and dark solitary wave solution of the nonlinear Schrodinger equation
(NLSE) in cubic–quintic non-Kerr medium adopting phase–amplitude ansatz method. We …

Nonlocal cubic and quintic nonlinear wave patterns in pure-quartic media

CGL Tiofack, CB Tabi, H Tagwo, TC Kofané - Journal of Optics, 2023 - iopscience.iop.org
In this work, pure-quartic soliton (PQS) formation is investigated in the framework of a
nonlinear Schrödinger equation with competing Kerr (cubic) and non-Kerr (quintic) nonlocal …

Generation of dissipative solitons in a doped optical fiber modeled by the higher-order dispersive cubic-quintic-septic complex Ginzburg-Landau equation

D Zanga, SI Fewo, CB Tabi, TC Kofané - Physical Review A, 2022 - APS
The generation of dissipative optical solitons is explored in doped fibers with correction
effects under the activation of modulational instability (MI). The model, described by the …

Chirped solitary pulses for a nonic nonlinear Schrödinger equation on a continuous-wave background

H Triki, K Porsezian, A Choudhuri, PT Dinda - Physical Review A, 2016 - APS
A class of derivative nonlinear Schrödinger equation with cubic-quintic-septic-nonic
nonlinear terms describing the propagation of ultrashort optical pulses through a nonlinear …

Dissipative optical bullets modeled by the cubic-quintic-septic complex Ginzburg–Landau equation with higher-order dispersions

M Djoko, TC Kofané - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
We investigate the propagation of dissipative optical bullets under the combined influence of
dispersion, diffraction, gain, loss, spectral filtering, Raman effect and cubic-quintic-septic …

Modulation instability in nonlinear metamaterials induced by cubic–quintic nonlinearities and higher order dispersive effects

M Saha, AK Sarma - Optics Communications, 2013 - Elsevier
We have investigated modulation instability (MI) in metamaterials (MM) with both cubic and
quintic nonlinearities, based on a model appropriate for pulse propagation in MM with cubic …

Dissipative light bullets: from stationary light bullets to double, quadruple, sixfold, eightfold and tenfold bullet complexes

M Djoko, TC Kofané - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
In this work, we analyze stabilization of three dimensional spatiotemporal solitons
(“dissipative light bullets”) in highly nonlinear doped Kerr media with higher-order dispersion …

Riemann–Hilbert approach and N double-pole solutions for the third-order flow equation of nonlinear derivative Schrödinger-type equation

G Zhang, J He, Y Cheng - Nonlinear Dynamics, 2023 - Springer
This paper is concerned with the application of the inverse scattering transforms to a third-
order flow equation of nonlinear derivative Schrödinger-type equation with zero boundary …

Modulational instability in nonlinear doped optical fiber induced by the cubic–quintic–septic complex Ginzburg–Landau equation with higher-order dispersions

K Kefilwe Ndebele, C Bertrand Tabi… - Journal of the Optical …, 2020 - opg.optica.org
Considering the theory of electromagnetic waves, from the Maxwell's equations, we
introduce an extended (1+ 1) D complex Ginzburg–Landau equation with third-, fourth-, fifth …