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Three dimensional cylindrical Kadomtsev-Petviashvili equation in a very dense electron-positron-ion plasma
Umeå University, Faculty of Science and Technology, Department of Physics. Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, Germany; School of Physics, University of Kwazulu-Durban, South Africa; Max-Planck Institut für Extraterrestrische Physik, Garching, Germany; GoLP/Instituto Superior Técnico, Lisbon, Portugal; CCLRC Centre for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, UK; SUPA Department of Physics, University of Strathclyde, Glasgow, UK.
2010 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 17, no 3, 032305Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2010. Vol. 17, no 3, 032305
National Category
Fusion, Plasma and Space Physics
URN: urn:nbn:se:umu:diva-109641DOI: 10.1063/1.3309483ISI: 000276210100020OAI: diva2:858438
Available from: 2015-10-02 Created: 2015-10-02 Last updated: 2015-10-02Bibliographically approved

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Shukla, P K
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