Higher-order corrections to dust ion-acoustic soliton in a quantum dusty plasma

Dust ion-acoustic soliton is studied in an electron-dust-ion plasma by employing a two-fluid quantum hydrodynamic model. Ions and electrons are assumed to follow quantum mechanical behaviors in dust background. The Korteweg-de Vries (KdV) equation and higher order contribution to KdV equations are d...

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Main Authors: Chatterjee, P., Das, B., Mondal, G., Muniandy, S.V., Wong, C.S.
Format: Article
Published: American Institute of Physics 2010
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Online Access:http://eprints.um.edu.my/12317/
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Summary:Dust ion-acoustic soliton is studied in an electron-dust-ion plasma by employing a two-fluid quantum hydrodynamic model. Ions and electrons are assumed to follow quantum mechanical behaviors in dust background. The Korteweg-de Vries (KdV) equation and higher order contribution to KdV equations are derived using reductive perturbation technique. The higher order contribution is obtained as a higher order inhomogeneous differential equation. The nonsecular solution of the higher order contribution is obtained by using the renormalization method and the particular solution of the inhomogeneous equation is determined using a truncated series solution method. The effects of dust concentration, quantum parameter for ions and electrons, and soliton velocity on the amplitude and width of the dressed soliton are discussed. (C) 2010 American Institute of Physics. [doi:10.1063/1.3491101]