Optical soliton solutions of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity

Z Li, E Zhu - Journal of Optics, 2024 - Springer
In this paper, the stochastic Schrödinger–Hirota equation with spatiotemporal dispersion
and parabolic law nonlinearity is studied from the field of nonlinear optics, which is usually …

[HTML][HTML] Novel resonant multi-soliton solutions of time fractional coupled nonlinear Schrödinger equation in optical fiber via an analytical method

J Ahmad, S Rani, NB Turki, NA Shah - Results in Physics, 2023 - Elsevier
The aim of this article is to investigate the time fractional coupled nonlinear Schrödinger
equation (TFCNLSE) which can be used to describe the interaction among the modes in …

Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method

R Yadav, S Malik, S Kumar, R Sharma, A Biswas… - Chaos, Solitons & …, 2023 - Elsevier
Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive
optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry …

[HTML][HTML] Qualitative analysis of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity

C Peng, L Tang, Z Li, D Chen - Results in Physics, 2023 - Elsevier
In this paper, the stochastic Schrödinger–Hirota equation in birefringent fibers with
spatiotemporal dispersion and parabolic law nonlinearity is studied, which is usually used to …

Exploring the dynamics of Lie symmetry, Bifurcation and Sensitivity analysis to the nonlinear Schrödinger model

A Ali, R Hussain, S Javed - Chaos, Solitons & Fractals, 2024 - Elsevier
This work focuses on examining the nonlinear Schrödinger model in 2-dimensions which is
frequently used for analyzing plasmas, coherent systems for communication and other fields …

Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation

K Aldwoah, A Mustafa, T Aljaaidi, K Mohamed… - PloS one, 2025 - journals.plos.org
This work considers a stochastic form of an extended version of the Kairat-II equation by
adding Browning motion into the deterministic equation. Two analytical approaches are …

Unearthing the existence of intermode soliton-like solutions within integrable quintic Kundu–Eckhaus equation

W Alhejaili, R Shah, AH Salas, S Raut, S Roy… - … Lincei. Scienze Fisiche …, 2024 - Springer
The main objective of this study is to generate and analyze a wide range of optical soliton
and many other traveling wave solutions for the integrable nonlinear complex Quintic Kundu …

Soliton solutions of the improved perturbed nonlinear Schrödinger equation having parabolic law with non-local nonlinearity in the presence of chromatic and spatio …

H Esen, I Onder, A Secer, M Ozisik, M Bayram - Physica Scripta, 2024 - iopscience.iop.org
This paper was organized to examine the analytical solutions of the improved perturbed
parabolic-law nonlinear Schrodinger equation including non-local nonlinearity in the …

Investigating the invariant solutions of (1+ 1)-dimensional Sawada–Kotera model using Lie symmetries analysis

M Nadeem, S Jabeen, OA Arqub - Modern Physics Letters B, 2024 - World Scientific
Here attention is focused on the (1+ 1)-dimensional Sawada–Kotera (SK) model that is
prominent in mathematical physics and engineering to analyze plasmas and coherent …

Examination of dark and bright solitons of (2+ 1)-dimensional Kundu-Mukherjee-Naskar equation via unified solver technique

V Ala - Sinop Üniversitesi Fen Bilimleri Dergisi, 2023 - dergipark.org.tr
In this study, dark and bright solitons of the (2+ 1)-dimensional Kundu-Mukherjee-Naskar
equation are constructed with unified solver in terms of He's variations method. In …