Stability of black solitons in optical systems with intensity-dependent dispersion

DE Pelinovsky, M Plum - SIAM Journal on Mathematical Analysis, 2024 - SIAM
Black solitons are identical in the nonlinear Schrödinger (NLS) equation with intensity-
dependent dispersion and the cubic defocusing NLS equation. We prove that the intensity …

Interplay between intensity-dependent dispersion and Kerr nonlinearity on the soliton formation

JH Chang, CY Lin, RK Lee - Optics Letters, 2023 - opg.optica.org
A generalized nonlinear Schrödinger equation is studied with the interplay between Kerr
nonlinearity and intensity-dependent dispersion. The supported soliton solutions are …

Solitons supported by intensity-dependent dispersion

CY Lin, JH Chang, G Kurizki, RK Lee - Optics Letters, 2020 - opg.optica.org
Soliton solutions are studied for paraxial wave propagation with intensity-dependent
dispersion. Although the corresponding Lagrangian density has a singularity, analytical …

Solitary waves with intensity-dependent dispersion: variational characterization

DE Pelinovsky, RM Ross… - Journal of Physics A …, 2021 - iopscience.iop.org
A continuous family of singular solitary waves exists in a prototypical system with intensity-
dependent dispersion. The family has a cusped soliton as the limiting lowest energy state …

Localization in optical systems with an intensity-dependent dispersion

RM Ross, PG Kevrekidis, DE Pelinovsky - arXiv preprint arXiv:2103.11858, 2021 - arxiv.org
We address the nonlinear Schrodinger equation with intensity-dependent dispersion which
was recently proposed in the context of nonlinear optical systems. Contrary to the previous …

Nonlinear band structure of cold atoms with interaction-dependent dispersion

ZH Guo, XJ Yu, DD Liang, GQ Li, Z Li - Physics Letters A, 2022 - Elsevier
Band structure is an important tool to characterize the physical properties of periodic
systems. In this work, we investigate the nonlinear spectrum and current density in cold …

Stability of smooth solitary waves under intensity--dependent dispersion

PG Kevrekidis, DE Pelinovsky, RM Ross - arXiv preprint arXiv:2408.11192, 2024 - arxiv.org
The cubic nonlinear Schrodinger equation (NLS) in one dimension is considered in the
presence of an intensity-dependent dispersion term. We study bright solitary waves with …

Quantum harmonic oscillators with nonlinear effective masses in the weak density approximation

JH Chang, CY Lin, RK Lee - Physica Scripta, 2022 - iopscience.iop.org
We study the eigen-energy and eigen-function of a quantum particle acquiring the
probability density-dependent effective mass (DDEM) in harmonic oscillators. Instead of …

Effect of non linearity on dispersion length

B Kshirsagar, AA Koser - AIP Conference Proceedings, 2019 - pubs.aip.org
The pulse propagation in an optical fiber is highly influenced by dispersion and non-
linearity. Dispersion length is dependent on the group velocity dispersion (GVD) parameter …

Effect of Intensity Dependent Dispersive Parameters on Pico Second Pulse Propagation in an Optical Fiber.

B KSHIRSAGAR, AA KOSER - Nonlinear Optics, Quantum …, 2022 - search.ebscohost.com
In modern optical fiber communication system dispersion is a very important factor that
degrades the communication quality, especially group velocity dispersion (GVD) and third …