[PDF][PDF] Localized structures in optical and matter-wave media: a selection of recent studies

D Mihalache - Rom. Rep. Phys, 2021 - rrp.nipne.ro
A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

[HTML][HTML] Lump and interaction solutions of a geophysical Korteweg–de Vries equation

STR Rizvi, AR Seadawy, F Ashraf, M Younis, H Iqbal… - Results in Physics, 2020 - Elsevier
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation
(GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink …

[PDF][PDF] Nonlinear waves in optical and matter-wave media: a topical survey of recent theoretical and experimental results

BA Malomed, D Mihalache - Rom. J. Phys, 2019 - rjp.nipne.ro
We present a survey of some recent theoretical and experimental studies on nonlinear
waves that form and propagate in a broad class of optical and matterwave media. The article …

Soliton solutions to the Fokas system arising in monomode optical fibers

KJ Wang, JH Liu, J Wu - Optik, 2022 - Elsevier
Under the current study is the Fokas system that is used to model the nonlinear pulse
propagation in monomode optical fibers. By using the extended rational sine-cosine and …

Abundant exact soliton solutions to the Fokas system

KJ Wang - Optik, 2022 - Elsevier
In the current work, we consider the Fokas system that describes the nonlinear pulse
propagation in monomode optical fibers. By employing the Exp-function method, we …

[HTML][HTML] Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers

S Tarla, KK Ali, TC Sun, R Yilmazer, MS Osman - Results in Physics, 2022 - Elsevier
In this study, the Fokas system which represents the spread of irregular pulse in monomode
optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This …

Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome …

KK Ali, MS Osman, HM Baskonus… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4+ T‐
cells conformable fractional mathematical model. This model is studied analytically by …

[HTML][HTML] Analysis of interaction of lump solutions with kink-soliton solutions of the generalized perturbed KdV equation using Hirota-bilinear approach

S Saifullah, S Ahmad, MA Alyami, M Inc - Physics Letters A, 2022 - Elsevier
Using the Hirota bilinear method (HBM) and Cole-Hopf transformation, we extract the
interaction between the lump and kink-soliton solutions for the generalized perturbed …

[HTML][HTML] Exact solitary wave and numerical solutions for geophysical KdV equation

AR Alharbi, MB Almatrafi - Journal of King Saud University-Science, 2022 - Elsevier
Tsunamis are strong waves, arisen from volcanic eruptions, landslides, or earthquakes
sweeping across oceans. The geophysical Korteweg-de Vries (gKdV) equation which …

[HTML][HTML] New solitary waves, bifurcation and chaotic patterns of Fokas system arising in monomode fiber communication system

MF Alotaibi, N Raza, MH Rafiq, A Soltani - Alexandria Engineering Journal, 2023 - Elsevier
In this research, the model under consideration is the Fokas system that simulates the
dynamics of wave through single mode fiber optics. Dark, bright, kink and periodic optical …