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In the study of plasma, particularly in applications involving strong laser-plasma interactions, the propagation of a strong electromagnetic wave induces relativistic velocities in the electron flow. Given such conditions, the wave…

The nonlinear amplitude modulation of known electrostatic plasma modes is examined in a generic manner, by applying a collisionless fluid model. Both cold (zero-temperature) and warm fluid descriptions are discussed and the results are…

Plasma Physics · Physics 2007-05-23 Ioannis Kourakis , Padma Kant Shukla

Nonlinear effects in the propagation of perturbations in a dusty electron-ion plasma is studied, considering fully relativistic wave motion. A multifluid model is considered for the particles, from which a KdV equation can be derived. In…

Plasma Physics · Physics 2023-08-29 Maricarmen A. Winkler , Víctor Muñoz , Felipe A. Asenjo

The modulational instability (MI) and the evolution of weakly nonlinear two-dimensional (2D) Langmuir wave (LW) packets are studied in an unmagnetized collisionless plasma with weakly relativistic electron flow. By using a 2D…

Plasma Physics · Physics 2017-01-02 M. Shahmansouri , A. P. Misra

We consider the relativistic ion-acoustic mode in a plasma composed by cold ions and an ultra-degenerate electron gas, described the relativistic Vlasov-Poisson system. A critical examination of popular fluid models for relativistic…

Plasma Physics · Physics 2017-12-18 Fernando Haas

Nonlinear self-modulation of the dust acoustic waves is studied, in the presence of non-thermal (non-Maxwellian) ion and electron populations. By employing a multiple scale technique, a nonlinear Schrodinger-type equation (NLSE) is derived…

Plasma Physics · Physics 2015-06-26 Ioannis Kourakis , P. K. Shukla

Ion-acoustic modes propagating in unmagnetized dusty plasmas are studied by applying a generic collisionless fluid model. An Eulerian-to-Lagrangean variable transformation leads to a new system of evolution equations, which may be combined…

Plasma Physics · Physics 2007-05-23 Ioannis Kourakis , Padma Kant Shukla

The existence and the basic features of ion-acoustic (IA) envelope solitons in a self-gravitating degenerate quantum plasma system (SG-DQPS), containing inertial non-relativistically degenerate light and heavy ion species as well as…

Plasma Physics · Physics 2018-03-06 N. Ahmed , N. A. Chowdhury , A. Mannan , A. A. Mamun

A theoretical investigation has been made to understand the mechanism of the formation of both bright and dark envelope soltions associated with dust-ion-acoustic waves (DIAWs) propagating in an unmagnetized three component dusty plasma…

Plasma Physics · Physics 2020-07-21 M. K. Islam , B. E. Sharmin , S. Biswas , M. Hassan , A. A. Noman , N. A. Chowdhury , A. Mannan , A. A. Mamun

A nonlinear Schr\"{o}dinger equation (NLSE) has been derived by employing reductive perturbation method for investigating the modulational instability of dust-ion-acoustic waves (DIAWs) in a four-component plasma having stationary…

Plasma Physics · Physics 2021-02-24 S. Banik , R. K. Shikha , A. A. Noman , N. A. Chowdhury , A. Mannan , T. S. Roy , A. A. Mamun

Linear and nonlinear ion-acoustic waves are studied in a fluid model for non-relativistic, unmagnetized quantum plasma with electrons with an arbitrary degeneracy degree. The equation of state for electrons follows from a local Fermi-Dirac…

Plasma Physics · Physics 2016-03-09 Fernando Haas , Shahzad Mahmood

A standard nonlinear Schr\"{o}dinger equation has been established by using the reductive perturbation method to investigate the propagation of electrostatic dust-acoustic waves, and their modulational instability as well as the formation…

Plasma Physics · Physics 2020-08-25 R. K. Shikha , N. A. Chowdhury , A. Mannan , A. A. Mamun

Theoretical and numerical studies are presented of the nonlinear amplitude modulation of dust-acoustic (DA) waves propagating in an unmagnetized three component, weakly-coupled, fully ionized plasma consisting of electrons, positive ions…

Plasma Physics · Physics 2009-11-10 I. Kourakis , P. K. Shukla

A new, completely integrable, two dimensional evolution equation is derived for an ion acoustic wave propagating in a magnetized, collisionless plasma. The equation is a multidimensional generalization of a modulated wavepacket with weak…

Exactly Solvable and Integrable Systems · Physics 2018-06-13 Abhik Mukherjee , M. S. Janaki , Anjan Kundu

We study the nonlinear propagation of electrostatic wave packets in a collisional plasma composed of strongly coupled ions and relativistically degenerate electrons. The equilibrium of ions is maintained by an effective temperature…

Plasma Physics · Physics 2012-02-24 A. P. Misra , P. K. Shukla

Using a perturbative approach, an evolution equation for the space charge density, correct up to the third order, is deduced for arbitrary initial density profiles of the electron and ion fluids in a cold nonrelativistic plasma. The…

Plasma Physics · Physics 2024-10-10 Subhasish Bag , Vikrant Saxena

The nonlinear Schr\"odinger equation (NLSE) models the slowly varying envelope dynamics of a weakly nonlinear quasi-monochromatic wave packet in dispersive media. In the context of Bose-Einstein condensate (BEC), it is often referred to as…

Pattern Formation and Solitons · Physics 2019-12-24 N. Karjanto

A new approach to the perturbative analysis of dynamical systems, which can be described approximately by soliton solutions of integrable nonlinear wave equations, is employed in the case of small-amplitude solutions of the ion acoustic…

Exactly Solvable and Integrable Systems · Physics 2015-05-13 Yair Zarmi

Quantum and collisional effects on the unstable spectrum of a relativistic electron beam-plasma system are investigated through a two-fluids model. Application is made to the near target center interaction of the relativistic electron beam…

Plasma Physics · Physics 2015-05-13 A. Bret , F. J. Marín Fernández , J. M. Anfray

We study the dynamics of two-dimensional nonlinear ion-ion hybrid waves propagating perpendicular to an external magnetic field in plasmas with two ion species. We derive nonlinear equations for the envelope of electrostatic potential at…

Pattern Formation and Solitons · Physics 2024-04-15 Volodymyr M. Lashkin
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