Truncated Painleve expansion: Tanh-traveling wave solutions and reduction of sine-Poisson equation to a quadrature for stationary and nonstationary three-dimensional collisionless cold plasma

Journal Article · Sun Oct 15 00:00:00 EDT 2006 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2336184· OSTI ID:20860296

Ibrahim, R S; El-Kalaawy, O H ^[1]

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1. Department of Mathematics, Faculty of Science, Beni-Suef, Cairo University, Beni-Suef 62511 (Egypt)

The relativistic nonlinear self-consistent equations for a collisionless cold plasma with stationary ions [R. S. Ibrahim, IMA J. Appl. Math. 68, 523 (2003)] are extended to 3 and 3+1 dimensions. The resulting system of equations is reduced to the sine-Poisson equation. The truncated Painleve expansion and reduction of the partial differential equation to a quadrature problem (RQ method) are described and applied to obtain the traveling wave solutions of the sine-Poisson equation for stationary and nonstationary equations in 3 and 3+1 dimensions describing the charge-density equilibrium configuration model.

• OSTI ID: 20860296
• Journal Information: Physics of Plasmas, Vol. 13, Issue 10; Other Information: DOI: 10.1063/1.2336184; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CHARGE DENSITY
COLD PLASMA
EQUILIBRIUM
IONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
POISSON EQUATION
QUADRATURES
RADIATION TRANSPORT
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
THREE-DIMENSIONAL CALCULATIONS
TRAVELLING WAVES