[HTML][HTML] Analyzing numerous travelling wave behavior to the fractional-order nonlinear Phi-4 and Allen-Cahn equations throughout a novel technique

UHM Zaman, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2022 - Elsevier
Nonlinear fractional partial differential equations (NLFPDEs) are well suited for describing a
broad range of factors in engineering and science, including plasma physics, optical fiber …

Adequate soliton solutions to the space–time fractional telegraph equation and modified third-order KdV equation through a reliable technique

MA Arefin, U Sadiya, M Inc, MH Uddin - Optical and Quantum Electronics, 2022 - Springer
The space–time fractional Telegraph equation and the space–time fractional modified third-
order Kdv equations are significant molding equations in theoretic physics, mathematical …

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 …

Nonlinear vibration analysis of a generally restrained double-beam structure coupled via an elastic connector of cubic nonlinearity

Y Zhao, J Du - Nonlinear Dynamics, 2022 - Springer
Double-beam structures are frequently encountered in various engineering applications.
Their vibration behavior is attracting more and more research attention. The majority of the …

[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 …

Exploring the fractional effect to the optical wave propagation for the extended Kairat-II equation

J Muhammad, SU Rehman, N Nasreen, M Bilal… - Nonlinear …, 2024 - Springer
This work focuses on the study of the fractional parametric effect on the dynamics of solitary
waves for the recently introduced integrable system known as the extended (3+ 1) …

[HTML][HTML] Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

MA Khatun, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2024 - Elsevier
The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time
evolution of disturbances within media, tailored for describing phenomena in unstable …

Nonlinear dynamic wave characteristics of optical soliton solutions in ion-acoustic wave

UHM Zaman, MA Arefin, MA Hossain, MA Akbar… - … of Computational and …, 2024 - Elsevier
Traveling wave solutions are utilized to depict reaction-diffusion and analyze electrical
signal transmission and propagation in space-time nonlinear fractional order partial …

[HTML][HTML] An analytical approach to the solution of fractional-coupled modified equal width and fractional-coupled Burgers equations

MA Khatun, MA Arefin, MH Uddin, M İnç… - Journal of Ocean …, 2022 - Elsevier
We opted to construct a traveling wave solution to the nonlinear space-time fractional
coupled modified equal width (CMEW) equation and the space-time fractional-coupled …

Complex wave's impact on the cilia-generated flow in a vertical tube with an endoscope

H Sadaf, S Ijaz - Waves in Random and Complex Media, 2022 - Taylor & Francis
This research object is focused to discuss the cilia-driven flow along complex wave
progression via cilia tips. Suspension of nanocomposites is considered in this analysis to …