B{umlt a}cklund transformations and Painlev{acute e} analysis: Exact soliton solutions for strongly rarefied relativistic cold plasma
- Department of Physics, U.I.A., University of Antwerp, B-2610 Antwerp (Belgium)
- Department of Mathematics, Faculty of Science, El-Minya University, El-Minya (Egypt)
- Department of Mathematics, Faculty of Science, Cairo University, Beni-Suef (Egypt)
The relativistic nonlinear self-consistent equations for a strongly rarefied plasma with stationary ions is considered. The resulting system of equations is reduced to a single sinh-Gordon equation. Using the B{umlt a}cklund transformations technique and Painlev{acute e} analysis, a set of exact soliton solutions is obtained for stationary and nonstationary equations that describes the charge density equilibrium configuration. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 544846
- Journal Information:
- Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 4; ISSN PHPAEN; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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