Results 1 to 10 of about 6,300 (135)

Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative [PDF]

Scientific Reports
The nonlinear Chen-Lee-Liu (NCLL) model is a crucial mathematical model for assessing optical fiber communication systems. It incorporates various factors, including noise, dispersion, and nonlinearity, which can influence signal quality and data ...
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Waleed M. Osman, Arafa A. Dawood, Jorge Herrera   +5 more
doaj   +2 more sources

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials [PDF]

Scientific Reports
This research is devoted to analyze a conformable fractional-order model of nonlinear two-dimensional transmission line metamaterials. The conformable fractional derivative is utilized to broaden classical differentiation while maintaining essential ...
Ehab M. Almetwally, Mohammad A. Zayed, Sara I. Abo-Hashem, Rahma Sadat, Samah M. Mabrouk, Ahmed S. Rashed   +5 more
doaj   +2 more sources

Dynamics of computational waveform: A study of bifurcation, chaos, and sensitivity analysis. [PDF]

PLoS ONE
This study delves into the extraction of solutions for the fractional-order that describes wave circulation in space-time fractional low-pass electrical transmission (LPET) lines and Drinfel'd-Sokolov-Wilson (DSW) equations.
Nur Hasan Mahmud Shahen, Md Al Amin, Foyjonnesa, M M Rahman   +3 more
doaj   +2 more sources

Solitary waves, bifurcation, chaos, sensitivity, and multistability of electrical transmission line model [PDF]

Scientific Reports
This research explores the (2+1)-D nonlinear electrical transmission line equation (NLETLE), highlighting its unique localized wave solutions and the interactions that arise from them.
Muhammad Abdaal Bin Iqbal, Muhammad Zubair Raza, Maasoomah Sadaf, Ghazala Akram, Muhammad Yousaf, Homan Emadifar, Wael W. Mohammed, Karim K. Ahmed   +7 more
doaj   +2 more sources

Application of the unified method to solve the ion sound and Langmuir waves model

Heliyon, 2022
We present the unified method and use it to integrate the ion sound and Langmuir waves (ISLW) model to retrieve optical soliton solutions. Some new dynamical optical solitons involving the combo of rational, trigonometric, and hyperbolic function ...
Dulal Chandra Nandi, Mohammad Safi Ullah, Harun-Or- Roshid, M. Zulfikar Ali   +3 more
doaj   +1 more source

Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative

Results in Physics, 2021
In this article, our focus is to extract the diverse exact solutions to the conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE) that describes the propagation of water waves in the ocean engineering.
U. Younas, M. Younis, Aly R. Seadawy, S.T.R. Rizvi, Saad Althobaiti, Samy Sayed   +5 more
doaj   +1 more source

Dispersive solitary wave structures with MI Analysis to the unidirectional DGH equation via the unified method

Partial Differential Equations in Applied Mathematics, 2022
This article discusses the dynamical structures of unique traveling wave solutions to the unidirectional time-fractional Dullin–Gottwald–Holm equation, as well as the modulation instability analysis of solitary wave prorogations in shallow water ...
Foyjonnesa, Nur Hasan Mahmud Shahen, M.M. Rahman   +2 more
doaj   +1 more source

Application of the unified method to solve the Biswas–Arshed model

Results in Physics, 2022
We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model (BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential form of this model from its partial differential form via a ...
Mohammad Safi Ullah, Alrazi Abdeljabbar, Harun-Or Roshid, M. Zulfikar Ali   +3 more
doaj   +1 more source

Construction of multiple new analytical soliton solutions and various dynamical behaviors to the nonlinear convection-diffusion-reaction equation with power-law nonlinearity and density-dependent diffusion via Lie symmetry approach together with a couple of integration approaches

Journal of Ocean Engineering and Science, 2023
By taking advantage of three different computational analytical methods: the Lie symmetry analysis, the generalized Riccati equation mapping approach, and the modified Kudryashov approach, we construct multiple new analytical soliton solutions to the ...
Shoukry El-Ganaini, Sachin Kumar, Monika Niwas   +2 more
doaj   +1 more source

New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves by two analytical methods

Results in Physics, 2021
In this article, we investigate the exact solitary wave solutions to the 3D fractional Wazwaz-Benjamin- Bona-Mahony (3D-FWBBM) equation in emerging shallow-water waves.
Shafqat-Ur-Rehman, Muhammad Bilal, Jamshad Ahmad   +2 more
doaj   +1 more source