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Three-dimensional cylindrical Kadomtsev–Petviashvili equation in a dusty electronegative plasma

Published online by Cambridge University Press:  29 January 2010

W. M. MOSLEM ,
U. M. ABDELSALAM ,
R. SABRY ,
E. F. EL-SHAMY  and
S. K. EL-LABANY
W. M. MOSLEM
Affiliation:
Department of Physics, Faculty of Science, Port Said, Suez Canal University, Egypt (wmmoslem@hotmail.com)
U. M. ABDELSALAM
Affiliation:
Department of Mathematics, Faculty of Science, Fayoum University, Egypt
R. SABRY
Affiliation:
Theoretical Physics Group, Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, New Damietta 34517, Egypt
E. F. EL-SHAMY
Affiliation:
Theoretical Physics Group, Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, New Damietta 34517, Egypt
S. K. EL-LABANY
Affiliation:
Theoretical Physics Group, Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, New Damietta 34517, Egypt
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Abstract

The hydrodynamic equations of positive and negative ions, Boltzmann electron density distribution and Poisson equation with stationary dust particles are used along with the reductive perturbation method to derive a three-dimensional cylindrical Kadomtsev–Petviashvili equation. The generalized expansion method, used to obtain a new class of solutions, admits a train of well-separated bell-shaped periodic pulses. At certain condition, these periodic pulses degenerate to solitary wave solutions. The effects of the physical parameters on the solitary pulses are examined. Finally, the present results should elucidate the properties of ion-acoustic solitary pulses in multi-component plasmas, particularly in Earth's ionosphere.

Type
Papers
Information
Journal of Plasma Physics , Volume 76 , Special Issue 3-4: In Honor of Professor Padma Kant Shukla on the Occasion of His 60th Birthday , August 2010 , pp. 453 - 466
Copyright
Copyright © Cambridge University Press 2010

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