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Modulated envelope localized wavepackets associated with electrostatic plasma waves
Ioannis Kourakis, Padma Kant Shukla
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 wa…
Nonlinear theory of dust lattice mode coupling in dust crystals
Ioannis Kourakis, Padma Kant 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…
Intrinsic localized modes in dust lattices
Ioannis Kourakis, Vassileios Basios, Padma Kant Shukla
Intrinsic Localized Modes (ILM) (or Discrete Breathers, DB) are localized oscillatory modes known to occur in atomic or molecular chains characterized by coupling and/or on-site po…
Lagrangean formulation of ion- and dust-ion-acoustic waves
Ioannis Kourakis, Padma Kant 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…
Theory of solitary waves in complex plasma lattices
Ioannis Kourakis, Padma Kant Shukla, Bengt Eliasson
A comprehensive analytical theory for nonlinear excitations related to horizontal (longitudinal, acoustic mode) as well as vertical (transverse, optical mode) motion of charged dus…
Nonlinear whitlerons
Bengt Eliasson, Ioannis Kourakis, Padma Kant Shukla
Recently, observations from laboratory experiments have revealed amplitude modulation of whistlers by low-frequency perturbations. We here present theoretical and simulation studie…