A third-order nonlinear Schrödinger equation: the exact solutions, group-invariant solutions and conservation laws

YS Özkan, E Yaşar, AR Seadawy - Journal of Taibah University for …, 2020 - Taylor & Francis
In this study, we consider the third order nonlinear Schrödinger equation (TONSE) that
models the wave pulse transmission in a time period less than one-trillionth of a second …

Optical and analytical soliton solutions to higher order non-Kerr nonlinear Schrödinger dynamical model

AR Seadawy, STR Rizvi, U Akram, SK Naqvi - Journal of Geometry and …, 2022 - Elsevier
This article studies the propagation of the short pulse optical model governed by higher
order nonlinear Schrödinger equation (HNLSE) with non-Kerr nonlinearity. The model is …

Sensitivity analysis and solitary wave solutions to the ()-dimensional Boussinesq equation in dispersive media

N Nasreen, M Naveed Rafiq, U Younas… - Modern Physics Letters …, 2024 - World Scientific
This paper explores the dynamic behavior of the (2+ 1)-dimensional Boussinesq equation,
which is a nonlinear water wave equation used to model wave packets in dispersive media …

Bifurcation and new traveling wave solutions for (2+ 1)-dimensional nonlinear Nizhnik–Novikov–Veselov dynamical equation

ME Elbrolosy, AA Elmandouh - The European Physical Journal Plus, 2020 - epjplus.epj.org
The bifurcation theory for planar dynamical systems is applied to the traveling wave system
corresponding to the (2+ 1)(2+ 1)-dimensional nonlinear Nizhnik–Novikov–Veselov …

Nonlinear wave propagation for a strain wave equation of a flexible rod with finite deformation

A Aljuaidan, M Elbrolosy, A Elmandouh - Symmetry, 2023 - mdpi.com
The present work is attentive to studying the qualitative analysis for a nonlinear strain wave
equation describing the finite deformation elastic rod taking into account transverse inertia …

Darboux-dressing transformation, semi-rational solutions, breathers and modulation instability for the cubic-quintic nonlinear Schrödinger system with variable …

DY Yang, B Tian, QX Qu, H Li, XH Zhao… - Physica …, 2021 - iopscience.iop.org
Twin-core optical fibers are applied in the fiber optic sensing technique and optical
communication. Non-Kerr media are seen in plasma physics, nonlinear quantum mechanics …

[HTML][HTML] New soliton, kink and periodic solutions for fractional space–time coupled Schrödinger equation

M Alharbi, A Elmandouh, M Elbrolosy - Alexandria Engineering Journal, 2025 - Elsevier
This work investigates the time–space fractional coupled nonlinear Schrödinger equation.
By applying an appropriate wave transformation, this equation is converted into a fourth …

Solitary and periodic wave solutions of Sasa–Satsuma equation and their relationship with Hamilton energy

W Zhang, X Ling, BB Wang, S Li - Complexity, 2020 - Wiley Online Library
In this paper, we study the exact solitary wave solutions and periodic wave solutions of the S‐
S equation and give the relationships between solutions and the Hamilton energy of their …

Construction of special soliton solutions to the stochastic Riccati equation

Z Navickas, I Timofejeva, T Telksnys… - Open …, 2022 - degruyter.com
A scheme for the analytical stochastization of ordinary differential equations (ODEs) is
presented in this article. Using Itô calculus, an ODE is transformed into a stochastic …

Travelling Wave Solutions of Nonlinear Evolution Problem Arising in Mathematical Physics through (G′/G)‐Expansion Scheme

S Fan, T Sun, P Liu, D Yu - Mathematical Problems in …, 2022 - Wiley Online Library
This article deals with the application of well‐known (G′/G)‐expansion to investigate the
travelling wave solutions of nonlinear evolution problems including the Boussinesq …