Derivation of nonlinear Schroedinger equation for electrostatic and electromagnetic waves in fully relativistic two-fluid plasmas by the reductive perturbation method
- Department of Physics, Pusan National University, Busan 609-735 (Korea, Republic of)
The reductive perturbation method is used to derive a generic form of nonlinear Schroedinger equation (NLSE) that describes the nonlinear evolution of electrostatic (ES)/electromagnetic (EM) waves in fully relativistic two-fluid plasmas. The matrix eigenvector analysis shows that there are two mutually exclusive modes of waves, each mode involving only either one of two electric potentials, A and {phi}. The general result is applied to the electromagnetic mode in electron-ion plasmas with relativistically high electron temperature (T{sub e} Much-Greater-Than m{sub e}c{sup 2}). In the limit of high frequency (ck Much-Greater-Than {omega}{sub e}), the NLSE predicts bump type electromagnetic soliton structures having width scaling as {approx}kT{sub e}{sup 5/2}. It is shown that, in electron-positron pair plasmas with high temperature, dip type electromagnetic solitons can exist. The NLSE is also applied to electrostatic (Langmuir) wave and it is shown that dip type solitons can exist if k{lambda}{sub D} Much-Less-Than 1, where {lambda}{sub D} is the electron's Debye length. For the k{lambda}{sub D} Much-Greater-Than 1, however, the solution is of bump type soliton with width scaling as {approx}1/(k{sup 5}T{sub e}). It is also shown that dip type solitons can exist in cold plasmas having relativistically high streaming speed.
- OSTI ID:
- 22086013
- Journal Information:
- Physics of Plasmas, Vol. 19, Issue 8; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Small amplitude electron-acoustic double layers and solitons in fully relativistic plasmas of two-temperature electrons
NOTES ON NUMBER DENSITY FLUCTUATIONS AND THE SCATTERING CROSS SECTION FOR ELECTROMAGNETIC WAVES SCATTERED FROM A THERMAL NONEQUILIBRIUM PLASMA
Related Subjects
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLD PLASMA
DEBYE LENGTH
EIGENVECTORS
ELECTRIC POTENTIAL
ELECTROMAGNETIC RADIATION
ELECTRON TEMPERATURE
ELECTRON-ION COLLISIONS
ELECTRON-POSITRON INTERACTIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PERTURBATION THEORY
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SOLITONS
TEMPERATURE RANGE 0400-1000 K