BACKLUND-TRANSFORMATIONS AND PAINLEVE ANALYSIS - EXACT SOLITON-SOLUTIONS FOR STRONGLY RAREFIED RELATIVISTIC COLD-PLASMA

Authors
KHATER AH CALLEBAUT DK SHAMARDAN AB IBRAHIM RS
Citation
Ah. Khater et al., BACKLUND-TRANSFORMATIONS AND PAINLEVE ANALYSIS - EXACT SOLITON-SOLUTIONS FOR STRONGLY RAREFIED RELATIVISTIC COLD-PLASMA, Physics of plasmas, 4(11), 1997, pp. 3910-3922
Citations number
47
Categorie Soggetti
Phsycs, Fluid & Plasmas
Journal title
Physics of plasmas → ACNP
ISSN journal
1070664X
Volume
4
Issue
11
Year of publication
1997
Pages
3910 - 3922
Database
ISI
SICI code
1070-664X(1997)4:11<3910:BAPA-E>2.0.ZU;2-Z
Abstract
The relativistic nonlinear self-consistent equations for a strongly ra refied plasma with stationary ions is considered. The resulting system of equations is reduced to a single sinh-Gordon equation. Using the B acklund transformations technique and Painleve analysis, a set of exac t soliton solutions is obtained for stationary and nonstationary equat ions that describes the charge density equilibrium configuration. (C) 1997 American Institute of Physics.