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 …

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 …

Effect of trapped electron on the dust ion acoustic waves in dusty plasma using time fractional modified Korteweg-de Vries equation

A Nazari-Golshan, SS Nourazar - Physics of Plasmas, 2013 - pubs.aip.org
The time fractional modified Korteweg-de Vries (TFMKdV) equation is solved to study the
nonlinear propagation of small but finite amplitude dust ion-acoustic (DIA) solitary waves in …

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 …

Derivation and solution of space fractional modified Korteweg de Vries equation

A Nazari-Golshan - Communications in Nonlinear Science and Numerical …, 2019 - Elsevier
All applications of fractional calculus to physics propose fractional equations of motion for
various complex phenomena. Complex and nonlinear fractional equations are very familiar …

Study of Time-Fractional Dust Ion Acoustic Waves Propagation in Collisionless Unmagnetized Dusty Plasmas

MM Alam, MS Alam - Brazilian Journal of Physics, 2024 - Springer
The unmagnetized collisionless dusty plasmas consisting of Maxwell-distributed electrons,
inertial ions, and negatively charged dust grains are taken into consideration in order to …