Construction of diverse water wave structures for coupled nonlinear fractional Drinfel'd-Sokolov-Wilson model with Beta derivative and its modulus instability

M Shakeel, SA AlQahtani, MJU Rehman, G Kudra… - Scientific Reports, 2023 - nature.com
This paper aims to analyze the coupled nonlinear fractional Drinfel'd-Sokolov-Wilson
(FDSW) model with beta derivative. The nonlinear FDSW equation plays an important role in …

[HTML][HTML] New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations

MA Khatun, MA Arefin, MZ Islam, MA Akbar… - Alexandria Engineering …, 2022 - Elsevier
The space–time fractional coupled modified equal-width equation and the coupled
Boussinesq equation are a category of fractional partial differential equations, which might …

Explicit soliton solutions to the fractional order nonlinear models through the Atangana beta derivative

MA Arefin, MA Khatun, MS Islam, MA Akbar… - International Journal of …, 2023 - Springer
The nonlinear space-time fractional Cahn-Allen and space-time fractional Benjamin-Bona-
Mahony equations have significant applications in the fusion and fission phenomena of …

Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation

AM Mubaraki, RI Nuruddeen, KK Ali… - Optical and Quantum …, 2024 - Springer
Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …

Ferromagnetic recursion for geometric phase timelike -magnetic fibers

Z Korpinar, M Inc, T Korpinar - Optical and Quantum Electronics, 2023 - Springer
In this article, we introduce optical recursional ferromagnetic model for timelike SN-magnetic
fiber in deSitter space. Also, the concept of the recursion operator for timelike SN-magnetic …

Dynamics study of stability analysis, sensitivity insights and precise soliton solutions of the nonlinear (STO)-Burger equation

E Hussain, Z Li, SAA Shah, EA Az-Zo'bi… - Optical and Quantum …, 2023 - Springer
The purpose of this manuscript is to investigate the precise soliton solution of the (1+ 1)-
dimensional Sharma–Tasso–Olver–Burgers equation. This study thoroughly explores the …

Explore dynamical soliton propagation to the fractional order nonlinear evolution equation in optical fiber systems

UHM Zaman, MA Arefin, MA Akbar… - Optical and Quantum …, 2023 - Springer
This research opts to construct some innovative and further general solutions of nonlinear
traveling waves to the time fractional Gardner and Sharma-Tasso-Olver equations, which …

Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves

DU Ozsahin, B Ceesay, MZ Baber, N Ahmed… - Scientific Reports, 2024 - nature.com
In this manuscript, a mathematical model known as the Heimburg model is investigated
analytically to get the soliton solutions. Both biomembranes and nerves can be studied …

Solitary wave solutions to some nonlinear conformable partial differential equations

SŞŞ Kılıç, E Çelik, H Bulut - Optical and Quantum Electronics, 2023 - Springer
Fractional calculus is a field that is currently used in the world's applications in many science
and engineering fields where many models are still being developed and researched. The …

Bright soliton behaviours of fractal fractional nonlinear good Boussinesq equation with nonsingular kernels

G Sadiq, A Ali, S Ahmad, K Nonlaopon, A Akgül - Symmetry, 2022 - mdpi.com
In this manuscript, we investigate the nonlinear Boussinesq equation (BEQ) under fractal-
fractional derivatives in the sense of the Caputo–Fabrizio and Atangana–Baleanu operators …