Classes of solitary solution for nonlinear Schrödinger equation arising in optical fibers and their stability analysis

S Ibrahim, D Baleanu - Optical and Quantum Electronics, 2023 - Springer
In this work, we realised the soliton solutions of nonlinear Schrödinger equation (NLSE) that
arise from optical fibers, we considered the modified Sardar sub-equation method (MSSEM) …

Realization of optical solitons from nonlinear Schrödinger equation using modified Sardar sub-equation technique

S Ibrahim, AM Ashir, YA Sabawi, D Baleanu - Optical and Quantum …, 2023 - Springer
This study presents a novel modification of the Sardar sub-equation method for solving the
nonlinear SchrÖdinger equation (NLSE) with second order spatiotemporal dispersion and …

Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity

WB Bo, RR Wang, Y Fang, YY Wang, CQ Dai - Nonlinear Dynamics, 2023 - Springer
The first good prediction of the multipole soliton solution for the non-integrable equation, ie,
the saturable nonlinear Schrödinger equation under the PT-symmetric potential, is achieved …

Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations

KL Geng, DS Mou, CQ Dai - Nonlinear Dynamics, 2023 - Springer
The nondegenerate vector one-soliton and two-soliton solutions of the 2-coupled mixed
derivative nonlinear Schrödinger equation are acquired by the Hirota bilinear method. The …

Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis

S Akram, J Ahmad, S Sarwar, A Ali - Optical and Quantum Electronics, 2023 - Springer
The perturbed nonlinear Schrödinger equation is used frequently to simulate ultra-short
pulse lasers, nonlinear optics, optical communication systems, plasmas and other areas of …

Prediction of soliton evolution and equation parameters for NLS–MB equation based on the phPINN algorithm

SY Xu, Q Zhou, W Liu - Nonlinear Dynamics, 2023 - Springer
To enhance the precision and efficiency of result prediction, we proposed a parallel hard-
constraint physics-informed neural networks (phPINN) by combining the parallel fully …

Deep neural network for modeling soliton dynamics in the mode-locked laser

Y Fang, HB Han, WB Bo, W Liu, BH Wang, YY Wang… - Optics Letters, 2023 - opg.optica.org
Integrating the information of the first cycle of an optical pulse in a cavity into the input of a
neural network, a bidirectional long short-term memory (Bi_LSTM) recurrent neural network …

Bifurcation analysis, stationary optical solitons and exact solutions for generalized nonlinear Schrödinger equation with nonlinear chromatic dispersion and quintuple …

T Han, Z Li, C Li - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
In this paper, the bifurcation, stationary optical solitons and exact solutions in optical fiber
propagation are studied. The propagation model is described by a generalized nonlinear …

Multi peak solitons and btreather types wave solutions of unstable NLSEs with stability and applications in optics

K Shehzad, AR Seadawy, J Wang, M Arshad - Optical and Quantum …, 2023 - Springer
In this article, we examine the unstable non-linear Shrödinger (NLS) dynamical models
analytically by utilizing the tow variabke (G′/G)-expansion approach. The unstable NLS …

Matrix integrable fourth-order nonlinear Schrödinger equations and their exact soliton solutions

WX Ma - Chinese Physics Letters, 2022 - iopscience.iop.org
We construct matrix integrable fourth-order nonlinear Schrödinger equations through
reducing the Ablowitz–Kaup–Newell–Segur matrix eigenvalue problems. Based on …