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Nonlinear theory of longitudinal dust-lattice wave in a magnetic dusty plasma crystal

Published online by Cambridge University Press:  02 February 2012

M. SHAHMANSOURI
Affiliation:
Department of Physics, Faculty of Science, Arak-University, 38156–8-8349, Arak, Iran (m-shahmansouri@araku.ac.ir)
B. FAROKHI
Affiliation:
Department of Physics, Faculty of Science, Arak-University, 38156–8-8349, Arak, Iran (m-shahmansouri@araku.ac.ir)
Corresponding

Abstract

The propagation of dust-lattice waves in two-dimensional hexagonal dusty plasma crystals in the presence of an external weak magnetic field is considered. Linear and nonlinear properties of the longitudinal dust-lattice waves are investigated. Dispersion relation, group velocity and evolution equation are found. The influence of the magnetic field on the propagation of dust-lattice waves is studied. We obtain the envelope evolution equation for longitudinal modes in the presence of a weak magnetic field, which is in the form of the Gross–Pitaevskii equation.

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Papers
Copyright
Copyright © Cambridge University Press 2012

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References

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