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Sahu, Biswajit; Ghosh, Naba Kumar

Kadomstev-Petviashvili solitons in quantum plasmas. (English) Zbl 1286.76175

Astrophys. Space Sci. 343, No. 1, 289-292 (2013).
Summary: The propagation of nonlinear waves in a quantum plasma is studied. A quantum magnetohydrodynamic (QHD) model is used to take into account the effects of quantum force associated with the Bohm potential. Using the standard reductive perturbation technique, nonlinear Kadomtsev-Petviashvili (KP) equation is obtained to study the properties of ion acoustic waves (IAWs). For such waves the amplitude of the solitary waves is independent of the quantum parameter \(H\) (the ratio of the electron plasmon to electron Fermi energy), whereas the width and energy of the soliton increases with \(H\).

Cited in 3 Documents

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
82D10 Statistical mechanics of plasmas
35C08 Soliton solutions
76W05 Magnetohydrodynamics and electrohydrodynamics

Keywords:

ion acoustic wave; solitary wave; quantum plasma; KP equation
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