TY - JOUR
T1 - Modulated wave packets and envelope solitary structures in complex plasmas
AU - Kourakis, Ioannis
AU - Shukla, Padma K.
N1 - Funding Information:
Manuscript received August 19, 2003; revised November 5, 2003. This work was supported in part by the European Commission (Brussels) through the Human Potential Research and Training Network for carrying out the task of the project entitled: “Complex Plasmas: The Science of Laboratory Colloidal Plasmas and Mesospheric Charged Aerosols” under Contract HPRN-CT-2000-00140 and by Sonderforschungsbereich, Universelles Verhalten Gleichgewichtsferner Plasmen: Heizung, Transport, und Struktur-bildung.
PY - 2004/4
Y1 - 2004/4
N2 - A theoretical study is presented of the nonlinear amplitude modulation of waves propagating in unmagnetized plasmas contaminated by charged dust particles. Distinct well-known dusty plasma modes are explicitly considered, namely, the dust-acoustic wave, the dust-ion acoustic wave, and transverse dust-lattice waves. Using a multiple-scale technique, a nonlinear Schrödinger-type equation is derived, describing the evolution of the wave amplitude. A stability analysis reveals the possibility for modulational instability to occur, possibly leading to the formation of different types of envelope-localized excitations (solitary waves), under conditions which depend on the wave dispersion laws and intrinsic dusty plasma parameters.
AB - A theoretical study is presented of the nonlinear amplitude modulation of waves propagating in unmagnetized plasmas contaminated by charged dust particles. Distinct well-known dusty plasma modes are explicitly considered, namely, the dust-acoustic wave, the dust-ion acoustic wave, and transverse dust-lattice waves. Using a multiple-scale technique, a nonlinear Schrödinger-type equation is derived, describing the evolution of the wave amplitude. A stability analysis reveals the possibility for modulational instability to occur, possibly leading to the formation of different types of envelope-localized excitations (solitary waves), under conditions which depend on the wave dispersion laws and intrinsic dusty plasma parameters.
UR - http://www.scopus.com/inward/record.url?scp=4344619142&partnerID=8YFLogxK
U2 - 10.1109/TPS.2004.826077
DO - 10.1109/TPS.2004.826077
M3 - Article
AN - SCOPUS:4344619142
SN - 0093-3813
VL - 32
SP - 573
EP - 581
JO - IEEE Transactions on Plasma Science
JF - IEEE Transactions on Plasma Science
IS - 2 II
ER -