[HTML][HTML] Mathematical view with observational/experimental consideration on certain (2+ 1)-dimensional waves in the cosmic/laboratory dusty plasmas

XY Gao - Applied Mathematics Letters, 2019 - Elsevier
Plasmas are believed to be possibly the most abundant form of ordinary matter in the
Universe, supporting a variety of the wave phenomena, while a dusty plasma is of interest as …

Space plasma physics: A review

BT Tsurutani, GP Zank, VJ Sterken… - … on Plasma Science, 2022 - ieeexplore.ieee.org
Owing to the ever-present solar wind, our vast solar system is full of plasmas. The turbulent
solar wind, together with sporadic solar eruptions, introduces various space plasma …

Experimental study of nonlinear dust acoustic solitary waves in a dusty plasma

P Bandyopadhyay, G Prasad, A Sen, PK Kaw - Physical review letters, 2008 - APS
The excitation and propagation of finite-amplitude low-frequency solitary waves are
investigated in an argon plasma impregnated with kaolin dust particles. A nonlinear …

Cosmic dusty plasmas via a (3+ 1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-Bäcklund transformations …

XY Gao, YJ Guo, WR Shan - Waves in random and complex media, 2024 - Taylor & Francis
Cosmic plasmas are considered as the most abundant form of ordinary matter in the
Universe while observations of the cosmic dust in different regions provide an insight into …

Soliton interactions, soliton bifurcations and molecules, breather molecules, breather-to-soliton transitions, and conservation laws for a nonlinear (3+ 1)-dimensional …

YL Ma, BQ Li - Nonlinear Dynamics, 2024 - Springer
In this study, we employ the bilinear method to construct N th-order solutions for a nonlinear
(3+ 1)-dimensional shallow water equation. Subsequently, we delve into a comprehensive …

Nonextensive dust-acoustic solitary waves

M Tribeche, A Merriche - Physics of Plasmas, 2011 - pubs.aip.org
The seminal paper of Mamun et al [Phys. Plasmas 3, 702 (1996)] is revisited within the
theoretical framework of the Tsallis statistical mechanics. The nonextensivity may originate …

Laboratory observations of self-excited dust acoustic shocks

J Heinrich, SH Kim, RL Merlino - Physical review letters, 2009 - APS
Repeated, self-excited dust acoustic shock waves (DASWs) have been observed in a dc
glow discharge dusty plasma using high-speed video imaging. Two major observations are …

Chirped femtosecond pulses in the higher-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic–quintic–septic nonlinearities

H Triki, A Biswas, D Milović, M Belić - Optics communications, 2016 - Elsevier
We consider a high-order nonlinear Schrödinger equation with competing cubic–quintic–
septic nonlinearities, non-Kerr quintic nonlinearity, self-steepening, and self-frequency shift …

Dust acoustic solitary waves in a quantum plasma

S Ali, PK Shukla - Physics of plasmas, 2006 - pubs.aip.org
By employing one-dimensional quantum hydrodynamic (QHD) model for a three species
quantum plasma, nonlinear properties of dust acoustic solitary waves are studied. For this …

Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability

WM Moslem, S Ali, PK Shukla, XY Tang… - Physics of …, 2007 - pubs.aip.org
By employing the quantum hydrodynamic model and the reductive perturbation technique, a
quantum Zakharov-Kuznetsov (QZK) equation is derived for finite but small amplitude ion …