On the analytical and numerical approximations to the forced damped Gardner Kawahara equation and modeling the nonlinear structures in a collisional plasma

HA Alyousef, AH Salas, RT Matoog, SA El-Tantawy - Physics of Fluids, 2022 - pubs.aip.org
We perform a detailed study on the completely non-integrable forced damped
Gardner/Extended Kawahara equation (FDEKE). Three techniques are introduced to …

Novel exact and approximate solutions to the family of the forced damped Kawahara equation and modeling strong nonlinear waves in a plasma

SA El-Tantawy, AH Salas, HA Alyousef… - Chinese Journal of …, 2022 - Elsevier
In this investigation, a set of novel exact and approximate analytic solutions to the family of
the forced damped Kawahara equation (KE) are derived in detail. This work is divided into …

Synchronization of dust acoustic waves in a forced Korteweg–de Vries–Burgers model

A Mir, S Tiwari, A Sen, C Crabtree, G Ganguli, J Goree - Physical Review E, 2023 - APS
The synchronization of dust acoustic waves to an external periodic source is studied in the
framework of a driven Korteweg–de Vries–Burgers equation that takes into account the …

[HTML][HTML] Shivalik Plasma Device-I, a glow discharge device to study the collective dynamics of dusty plasma

S Sharma, M Sharma, GV Prakash, P Srivastav… - AIP Advances, 2023 - pubs.aip.org
Using a uniquely configured glow discharge-based Shivalik Plasma Device-I, we
demonstrate a variety of collective phenomena in dusty plasma away from the glow …

Bispectral analysis of nonlinear mixing in a periodically driven Korteweg–de Vries system

A Mir, S Tiwari, A Sen - Physics of Plasmas, 2022 - pubs.aip.org
The nonlinear response of a periodically driven Korteweg–de Vries model system is studied
using a variety of nonlinear drivers and compared to previous results obtained for a purely …

[HTML][HTML] Nonlinear dispersion relation of dust acoustic waves using the Korteweg–de Vries model

F Batool, A Mir, S Tiwari, A Sen - Physics of Plasmas, 2024 - pubs.aip.org
In this Brief Communication, we present an exact analytic nonlinear dispersion relation
(NLDR) for the dust acoustic waves using the Korteweg–de Vries model. The NLDR agrees …

Painlevé Analysis, Bäcklund Transformation, Lax Pair, Periodic-and Travelling-Wave Solutions for a Generalized (2+ 1)-Dimensional Hirota–Satsuma–Ito Equation in …

D Wang, YT Gao, X Yu, GF Deng, FY Liu - Qualitative Theory of Dynamical …, 2024 - Springer
In this paper, under investigation is a generalized (2+ 1)-dimensional Hirota–Satsuma–Ito
(HSI) equation in fluid mechanics. Motivated by its application in simulating the propagation …

Boundary effects on dispersion relations of ion-acoustic wave and physical properties of overlapping soliton in a plasma waveguide

J Han, S Li, J Luo, H Chen, J Li - Physica Scripta, 2023 - iopscience.iop.org
Taking into account the cylindrical boundary, a theoretical investigation has been made for
the low frequency electrostatic waves in an electron-positron-ion plasma waveguide. The …

Phase-mixing of high-frequency electrostatic oscillations in multi-component dusty plasmas

A Biswas, C Maity - Pramana, 2024 - Springer
A theoretical investigation of the phase-mixing phenomenon of Langmuir oscillations (LOs)
in a multi-component dusty plasma is presented. The plasma under study is a four …

Painlevé analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+ 1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics

D Wang, YT Gao, X Yu, GF Deng, FY Liu - arXiv preprint arXiv:2112.01855, 2021 - arxiv.org
In this paper, we investigate a generalized (2+ 1)-dimensional Hirota-Satsuma-Ito (HSI)
equation in fluid mechanics. Via the Painleve analysis, we find that the HSI equation is …