Effect of space fractional parameter on nonlinear ion acoustic shock wave excitation in an unmagnetized relativistic plasma

MF Uddin, MG Hafez, I Hwang, C Park - Frontiers in Physics, 2022 - frontiersin.org
In this work, the model equation with space fractional-order (FO) is used to investigate the
nonlinear ion acoustic shock wave excitations (NIASWEs) in an unmagnetized collisionless …

Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons

S Guo, L Mei, Z Zhang - Physics of Plasmas, 2015 - pubs.aip.org
Nonlinear propagation of ion-acoustic waves is investigated in a one-dimensional,
unmagnetized plasma consisting of positive ions, negative ions, and nonthermal electrons …

On constructing of multiple rogue wave solutions to the (3+ 1)-dimensional Korteweg–de Vries Benjamin-Bona-Mahony equation

Y Cao, H Tian, B Ghanbari - Physica Scripta, 2021 - iopscience.iop.org
Exploring new wave soliton solutions to nonlinear partial differential equations has always
been one of the most challenging issues in different branches of science, including physics …

Modification of the optimal auxiliary function method for solving fractional order KdV equations

H Ullah, M Fiza, I Khan, N Alshammari… - Fractal and …, 2022 - mdpi.com
In this study, a new modification of the newly developed semi-analytical method, optimal
auxiliary function method (OAFM) is used for fractional-order KdVs equations. This method is …

Time fractional effect on ion acoustic shock waves in ion-pair plasma

HG Abdelwahed, EK El-Shewy… - Journal of Experimental …, 2016 - Springer
The nonlinear properties of ion acoustic shock waves are studied. The Burgers equation is
derived and converted into the time fractional Burgers equation by Agrawal's method. Using …

Investigation of nonextensivity trapped electrons effect on the solitary ion-acoustic wave using fractional Schamel equation

A Nazari-Golshan - Physics of Plasmas, 2016 - pubs.aip.org
Ion-acoustic (IA) solitary wave propagation is investigated by solving the fractional Schamel
equation (FSE) in a homogenous system of unmagnetized plasma. This plasma consists of …

A new modification to homotopy perturbation method combined with Fourier transform for solving nonlinear Cauchy reaction diffusion equation

SS Nourazar, A Nazari-Golshan - Indian Journal of Physics, 2015 - Springer
A hybrid of Fourier transform and new modified homotopy perturbation method based on the
Adomian method is developed to solve linear and nonlinear partial differential equations …

Time-fractional Boussinesq equation for heavy-nucleus-acoustic wave excitations in highly dense relativistically degenerate quantum plasmas

D Kolay, D Dutta, D Pradhan, A Saha - Chinese Journal of Physics, 2024 - Elsevier
The dynamics of nonlinear propagation of the heavy-nucleus-acoustic waves (HNAW) is
theoretically investigated in a plasma comprising non-degenerate inertial heavy ions …

[HTML][HTML] Time-fractional Schamel–KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains

S Guo, L Mei, Y He, Y Li - Physics Letters A, 2016 - Elsevier
Nonlinear propagation of dust-ion-acoustic (DIA) waves is investigated in a one-
dimensional, unmagnetized plasma containing positive ions, negative ions, trapped …

Investigation of cylindrical shock waves in dusty plasma

A Nazari-Golshan - Indian Journal of Physics, 2018 - Springer
Electronegative dusty plasma composed of Boltzmann electrons, Boltzmann negative ions,
inertial positive ions and charge fluctuating dust has been considered. The fractional …