Three dimensional cylindrical Kadomtsev-Petviashvili equation in a very dense electron-positron-ion plasma

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3309483· OSTI ID:21347169

Moslem, W M ^[1]; Sabry, R ^[2]; Shukla, P K ^[3]

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1. Department of Physics, Faculty of Science-Port Said, Suez Canal University (Egypt)
2. Department of Physics, Theoretical Physics Group, Faculty of Science, Mansoura University, Damietta Branch, 34517 New Damietta (Egypt)
3. Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)

By using the hydrodynamic equations of ions, Thomas-Fermi electron/positron density distribution, and Poisson equation, a three-dimensional cylindrical Kadomtsev-Petviashvili (CKP) equation is derived for small but finite amplitude ion-acoustic waves. The generalized expansion method is used to analytically solve the CKP equation. New class of solutions admits a train of well-separated bell-shaped periodic pulses is obtained. At certain condition, the latter degenerates to solitary wave solution. The effects of physical parameters on the solitary pulse structures are examined. Furthermore, the energy integral equation is used to study the existence regions of the localized pulses. The present study might be helpful to understand the excitation of nonlinear ion-acoustic waves in a very dense astrophysical objects such as white dwarfs.

• OSTI ID: 21347169
• Journal Information: Physics of Plasmas, Vol. 17, Issue 3; Other Information: DOI: 10.1063/1.3309483; (c) 2010 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ELECTRONS
HYDRODYNAMICS
INTEGRAL EQUATIONS
ION ACOUSTIC WAVES
IONS
PLASMA
PLASMA DENSITY
POISSON EQUATION
POSITRONS
THREE-DIMENSIONAL CALCULATIONS
WHITE DWARF STARS
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
DWARF STARS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FLUID MECHANICS
ION WAVES
LEPTONS
MATTER
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA WAVES
STARS