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The nonlinear aspects of longitudinal motion of interacting point masses in a lattice are revisited, with emphasis on the paradigm of charged dust grains in a dusty plasma (DP) crystal. Different types of localized excitations, predicted by…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

The nonlinear amplitude modulation of longitudinal dust lattice waves (LDLWs) propagating in a dusty plasma crystal is investigated in a continuum approximation. It is shown that long wavelength LDLWs are modulationally stable, while…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

Quasi-crystals formed by charged mesoscopic dust grains (dust lattices), observed since hardly a decade ago, are an exciting paradigm of a nonlinear chain. In laboratory discharge experiments, these quasi-lattices are formed spontaneously…

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

The weakly nonlinear regime of transverse paramagnetic dust grain oscillations in dusty (complex) plasma crystals is discussed. The nonlinearity, which is related to the sheath electric/magnetic field(s) and to the inter--grain…

Plasma Physics · Physics 2009-11-10 Ioannis Kourakis , Padma Kant Shukla

We present a fully nonlinear theory for dust acoustic (DA) shocks and DA solitary pulses in a strongly coupled dusty plasma, which have been recently observed experimentally by Heinrich et al. [Phys. Rev. Lett. 103, 115002 (2009)], Teng et…

Plasma Physics · Physics 2015-06-05 P. K. Shukla , B. Eliasson

The occurrence of the modulational instability (MI) in transverse dust lattice waves propagating in a one-dimensional dusty plasma crystal is investigated. The amplitude modulation mechanism, which is related to the intrinsic nonlinearity…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

An investigation of dust-acoustic solitary waves in unmagnetized dusty plasma whose constituents are inertial charged dust grains, Boltzmannian electrons and nonthermal ions has been conducted. The pseudo potential as well as the reductive…

Plasma Physics · Physics 2007-05-23 K. Annou , R. Annou

A model is presented to explain the normal mode features of dust particles in a planar zigzag crystal chain for the first and second neighbors. The degrees of freedom of particles are the longitudinal and transverse displacements in plane…

Plasma Physics · Physics 2020-01-28 A. Abdikian , Zahida Ehsan

The excitation and propagation of finite amplitude low frequency solitary waves are investigated in an Argon plasma impregnated with kaolin dust particles. A nonlinear longitudinal dust acoustic solitary wave is excited by pulse modulating…

Plasma Physics · Physics 2009-11-13 P. Bandyopadhyay , G. Prasad , A. Sen , P. K. Kaw

An analytical model is presented for the description of nonlinear dust-ion-acoustic waves propagating in an unmagnetized, collisionless, three component plasma composed of electrons, ions and inertial dust grains. The formulation relies on…

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

Using a Sagdeev pseudopotential approach where the nonlinear structures are stationary in a comoving frame, the arbitrary or large amplitude dust-acoustic solitary waves and double layers have been studied in dusty plasmas containing warm…

Plasma Physics · Physics 2023-08-01 N. Alam , A. Mannan , A. A. Mamun

The existence of highly localized multi-site oscillatory structures (discrete multibreathers) in a nonlinear Klein-Gordon chain which is characterized by an inverse dispersion law is proven and their linear stability is investigated. The…

Pattern Formation and Solitons · Physics 2007-11-13 V. Koukouloyannis , I. Kourakis

The propagation of weakly nonlinear dust--acoustic waves in a dusty plasma containing two ion species with different temperatures is explored. The nonlinear equations describing both the quadratic and cubic plasma nonlinearities are…

Astrophysics · Physics 2009-11-13 V. V. Prudskikh

The existence of large-amplitude electron-acoustic solitary structures is investigated in an unmagnetized and collisionless two-temperature dusty plasma penetrated by an electron beam. A nonlinear pseudopotential technique is used to…

High Energy Astrophysical Phenomena · Physics 2011-12-05 Ashkbiz Danehkar , Nareshpal Singh Saini , Manfred A. Hellberg , Ioannis Kourakis

Complex plasmas consist of microparticles embedded in a low-temperature plasma and allow investigating various effects by tracing the motion of these microparticles. Dust density waves appear in complex plasmas as self-excited acoustic…

Plasma Physics · Physics 2022-02-23 P. Bajaj , S. Khrapak , V. Yaroshenko , M. Schwabe

We report an experimental observation of coupling of the transverse vertical and longitudinal in-plane dust-lattice wave modes in a two-dimensional complex plasma crystal in the absence of mode crossing. A new large diameter rf plasma…

Plasma Physics · Physics 2018-01-17 J. K. Meyer , I. Laut , S. K. ZHdanov , V. Nosenko , H. M. Thomas

The omnipresence of dust particulates in space and astrophysical plasmas has been attracting numerous researchers to study the collective excitation and propagation dynamics of different eigen-mode structures in diversifed astrocosmic…

Plasma Physics · Physics 2022-11-16 Souvik Das , Ahmed Atteya , Pralay Kumar Karmakar

The space electron-ion-positive dust plasma system containing isothermal inertialess electron species, cold inertial ion species, and stationary positive (positivively charged) dust species is considered. The basic features of one…

Plasma Physics · Physics 2020-09-22 A A Mamun

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

Three dimensional rotatory modes of oscillations in a one-dimensional chain of rodlike charged particles or dust grains in a plasma are investigated. The dispersion characteristics of the modes are analyzed. The stability of different…

Plasma Physics · Physics 2007-05-23 M. P. Hertzberg , S. V. Vladimirov , N. F. Cramer
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