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 …

Solitary and periodic wave solutions of the space-time fractional Extended Kawahara equation

D Varol - Fractal and Fractional, 2023 - mdpi.com
The extended Kawahara (Gardner Kawahara) equation is the improved form of the
Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution …

Collisional Solitons Described by Two‐Sided Beta Time Fractional Korteweg‐de Vries Equations in Fluid‐Filled Elastic Tubes

S Akter, MD Hossain, MF Uddin… - … in Mathematical Physics, 2023 - Wiley Online Library
This article deals with the basic features of collisional radial displacements in a prestressed
thin elastic tube filled having inviscid fluid with the presence of nonlocal operator. By …

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 …

Exploring new traveling wave solutions by solving the nonlinear space–time fractal Fornberg− Whitham equation

A Nazari-Golshan - Scientific Reports, 2024 - nature.com
Complex and nonlinear fractal equations are ubiquitous in natural phenomena. This
research employs the fractal Euler− Lagrange and semi-inverse methods to derive the …

Nonlinear waves of a surface charge at a curved plasma boundary

OM Gradov, SK Myasnikov - Physica Scripta, 2020 - iopscience.iop.org
The nonlinear behavior of the surface charge has been analyzed for the curved plasma
boundary. Detail descriptions of the solitary surface wave motion are obtained for the cold …

Numerical method for generalized time fractional KdV‐type equation

D Kong, Y Xu, Z Zheng - Numerical Methods for Partial …, 2020 - Wiley Online Library
In this article, an efficient numerical method for linearized and nonlinear generalized time‐
fractional KdV‐type equations is proposed by combining the finite difference scheme and …

Oblique propagation of nonlinear solitary structures in electron positron ion plasmas under the influence of quantizing magnetic field

S Hussain, N Imtiaz, H Hasnain - Plasma Research Express, 2020 - iopscience.iop.org
We study the propagation properties of the small amplitude nonlinear ion acoustic solitary
structure in dense electron-position-ion (epi) plasmas. We consider an oblique propagation …

Positron nonextensivity effect on the propagation of dust ion acoustic Gardner waves

A Nazari-Golshan, V Fallahi - Zeitschrift für Naturforschung A, 2021 - degruyter.com
Propagation of dust ion-acoustic (DIA) Gardner wave in a dusty electron–positron–ion (e–p–
i) plasma is investigated. This plasma consists of q-distributed electrons and positrons, warm …

[PDF][PDF] Formulation of the differential equations of Riesz fractional derivative

JG Liu, XJ Yang, LL Geng, YM Pan - researchgate.net
Fractional differential equations can provide strong support for us to reveal the mystery of
this investigated problem. In this letter, the formulation of the differential equations was used …