Soliton solutions to the B-type Kadomtsev–Petviashvili equation under general dispersion relations

WX Ma, X Yong, X Lü - Wave Motion, 2021 - Elsevier
We analyze soliton solutions and verify the Hirota N-soliton condition for the B-type
Kadomtsev–Petviashvili equation, within the Hirota bilinear formulation. A weight number is …

Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and -expansion method

HF Ismael, H Bulut, HM Baskonus - Pramana, 2020 - Springer
The purpose of this study is to find some novel soliton solutions of Fokas–Lenells (FL)
equation where the perturbation terms are taken into account with nonlinearity. The sine …

Dynamics and spectral analysis of optical rogue waves for a coupled nonlinear Schrödinger equation applicable to pulse propagation in isotropic media

H Wang, X Li, Q Zhou, W Liu - Chaos, Solitons & Fractals, 2023 - Elsevier
The nonlinear Schrödinger equation is the standard model in nonlinear optics. The pulse
propagation in an isotropic medium can be described by this equation. This paper reports …

A study of travelling, periodic, quasiperiodic and chaotic structures of perturbed Fokas–Lenells model

A Jhangeer, H Rezazadeh, A Seadawy - Pramana, 2021 - Springer
In this paper, a diverse range of travelling wave structures of perturbed Fokas–Lenells
model (p-FLM) is obtained by using the extended (G'/G^ 2)(G′/G 2)-expansion technique …

Optical solitons with differential group delay for coupled Fokas–Lenells equation using two integration schemes

A Biswas, Y Yildirim, E Yasar, Q Zhou, MF Mahmood… - Optik, 2018 - Elsevier
This paper studies differential group delay in optical fibers with coupled Fokas–Lenells
equation. Two integration schemes are adopted. They are trial equation method and …

Optical solitons perturbation of Fokas-Lenells equation with full nonlinearity and dual dispersion

S Arshed, N Raza - Chinese Journal of Physics, 2020 - Elsevier
This paper retrieves dark, rational, periodic and combo soliton solutions that stem from
Fokas-Lenells equation which is studied with full nonlinearity. These solitons appear with …

[HTML][HTML] Optical soliton solutions for the coupled conformable Fokas–Lenells equation with spatio-temporal dispersion

W Kallel, H Almusawa, SM Mirhosseini-Alizamini… - Results in Physics, 2021 - Elsevier
New optical soliton solutions for the coupled conformable Fokas–Lenells equation with
spatio-temporal dispersion are obtained via Atangana's derivative operator using an …

A comparative study between obtained solutions of the coupled Fokas–Lenells equations by Sine-Gordon expansion method and rapidly convergent approximation …

PK Das, SM Mirhosseini-Alizamini, D Gholami… - Optik, 2023 - Elsevier
This paper considers the coupled Fokas–Lenells equation, which is used to study the
transmission of signals through a polarization-preserving optical fibre. Its several solutions …

The N-soliton, fusion, rational and breather solutions of two extensions of the (2+ 1)-dimensional Bogoyavlenskii–Schieff equation

HF Ismael, H Bulut, MS Osman - Nonlinear Dynamics, 2022 - Springer
The aim of this work is to analyze and explore the dynamics of two extensions of the
Bogoyavlenskii–Schieff equation. The Hirota bilinear method is applied to the equations that …

Multi-solutions with specific geometrical wave structures to a nonlinear evolution equation in the presence of the linear superposition principle

HF Ismael, TA Sulaiman… - … in Theoretical Physics, 2022 - iopscience.iop.org
Lump solutions are one of the most common solutions for nonlinear evolution equations.
This study aspires to investigate the generalized Hietarintatype equation. We auspiciously …