Results 1 to 7 of about 7 (7)

Analytical behavior of weakly dispersive surface and internal waves in the ocean

Journal of Ocean Engineering and Science, 2022
The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin, Md. Abu Saeed, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source

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

Alexandria Engineering Journal, 2022
The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun, Mohammad Asif Arefin, M. Zohurul Islam, M. Ali Akbar, M. Hafiz Uddin   +4 more
doaj   +1 more source

Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations

Journal of Ocean Engineering and Science, 2022
This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin, M. Ayesha Khatun, M. Hafiz Uddin, Mustafa Inc   +3 more
doaj   +1 more source

Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics, 2023
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source

Consistent travelling waves solutions to the non-linear time fractional Klein–Gordon and Sine-Gordon equations through extended tanh-function approach

Journal of Taibah University for Science, 2022
In this study, the extended tanh-function method has been used to find further general travelling wave solutions for space-time fractional nonlinear partial differential equations, namely, the time fractional nonlinear Sine-Gordon equation and Klein ...
Umme Sadiya, Mustafa Inc, Mohammad Asif Arefin, M. Hafiz Uddin   +3 more
doaj   +1 more source

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

Results in Physics
The space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder, Mohammad Asif Arefin, Khaled A. Gepreel, M. Hafiz Uddin, M. Ali Akbar   +4 more
doaj   +1 more source

Orexin/hypocretin and histamine: distinct roles in the control of wakefulness demonstrated using knock-out mouse models. [PDF]

J Neurosci, 2009
Anaclet C, Parmentier R, Ouk K, Guidon G, Buda C, Sastre JP, Akaoka H, Sergeeva OA, Yanagisawa M, Ohtsu H, Franco P, Haas HL, Lin JS.   +12 more
europepmc   +1 more source