Dynamic analysis on optical pulses via modified PINNs: Soliton solutions, rogue waves and parameter discovery of the CQ-NLSE
YH Yin, X Lü - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
Under investigation in this paper is the cubic–quintic nonlinear Schrödinger equation, which
describes the propagation of optical on resonant-frequency fields in the inhomogeneous …
describes the propagation of optical on resonant-frequency fields in the inhomogeneous …
Painlevé integrability and multi-wave pattern for (2+ 1)-dimensional long wave–short wave resonance interaction system
In this article, Painlevé analysis is employed to test the integrability of (2+ 1)-dimensional
long wave–short wave resonance interaction system using the Weiss–Tabor–Carnevale …
long wave–short wave resonance interaction system using the Weiss–Tabor–Carnevale …
Optical devices: motion via breathers, rogue waves and rational solitons
The main focus is on using the logarithmic transformation and symbolic computation with
ansatz functions scheme to analyse solitons theoretically in the ring-cavity fibre laser system …
ansatz functions scheme to analyse solitons theoretically in the ring-cavity fibre laser system …
A class of nonlinear wave patterns for (2+ 1) dimensional coupled integrable Maccari's system
In this paper, with the aid of Truncated Painlevé Approach,(2+ 1) dimensional Coupled
Integrable Maccaris System is investigated. The obtained result contains some arbitrary …
Integrable Maccaris System is investigated. The obtained result contains some arbitrary …
Multi-parallelized PINNs for the inverse problem study of NLS typed equations in optical fiber communicaitons: Discovery on diverse high-order terms and variable …
YH Yin, X Lü - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we focus on the inverse problem study of nonlinear Schrödinger (NLS) typed
equations in optical fiber communicaitons. As an extension of the physics-informed neural …
equations in optical fiber communicaitons. As an extension of the physics-informed neural …
Optical similaritons in a tapered graded-index non-Kerr waveguides with a weak nonlocality
We study the self-similar transmission of light beams through a tapered graded-index
nonlinear waveguide amplifier with parabolic law nonlinearity. Especially we, for the first …
nonlinear waveguide amplifier with parabolic law nonlinearity. Especially we, for the first …
Bright solitons of the nonautonomous cubic-quintic nonlinear Schrödinger equation with sign-reversal nonlinearity
In New J. Phys. 16, 053048 (2014) NJOPFM 1367-2630 10.1088/1367-2630/16/5/053048,
Wang et al. have experimentally demonstrated the formation of bright solitons with repulsive …
Wang et al. have experimentally demonstrated the formation of bright solitons with repulsive …
[HTML][HTML] Coupled wave instability in pure-quartic dispersive and noninstantaneous Kerr media in presence of walk-off
The letter explores modulational instability (MI) in birefringent optical media with pure-
quartic dispersion, relaxed Kerr nonlinearity, and walk-off effects. The linear stage of MI is …
quartic dispersion, relaxed Kerr nonlinearity, and walk-off effects. The linear stage of MI is …
Second-order rogue wave breathers in the nonlinear Schrödinger equation with quadratic potential modulated by a spatially-varying diffraction coefficient
Nonlinear Schrödinger equation with simple quadratic potential modulated by a spatially-
varying diffraction coefficient is investigated theoretically. Second-order rogue wave …
varying diffraction coefficient is investigated theoretically. Second-order rogue wave …
Peregrine solitons of the higher-order, inhomogeneous, coupled, discrete, and nonlocal nonlinear Schrödinger equations
This study reviews the Peregrine solitons appearing under the framework of a class of
nonlinear Schrödinger equations describing the diverse nonlinear systems. The historical …
nonlinear Schrödinger equations describing the diverse nonlinear systems. The historical …