Properties of large amplitude Langmuir solitons

作者: M. D’Evelyn , G. J. Morales

DOI: 10.1063/1.862144

关键词: SolitonNonlinear Schrödinger equationSchrödinger equationQuantum electrodynamicsAmplitudeStanding waveWave functionSteady stateElectric fieldPhysics

摘要: This numerical study isolates some of the experimentally interesting properties large amplitude spatially localized electric fields in Langmuir frequency range which are described by nonlinear Schrodinger equation with full exponential nonlinearity retained. The steady state eigenvalues and wavefunctions calculated their compared small soliton solutions. A variety time dependent effects investigated both bounded unbounded geometries. Some these are: evolution initial standing waves; collisional properties; pumping stationary, moving, colliding solitons a uniform external field.

参考文章(18)
L. FOX, CHAPTER 10 - CHEBYSHEV SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS Numerical Solution of Ordinary and Partial Differential Equations#R##N#Based on a Summer School Held in Oxford, August–September 1961. pp. 129- 141 ,(1962) , 10.1016/B978-0-08-009660-5.50013-0
A. S. Kingsep, L. I. Rudakov, R. N. Sudan, Spectra of Strong Langmuir Turbulence Physical Review Letters. ,vol. 31, pp. 1482- 1484 ,(1973) , 10.1103/PHYSREVLETT.31.1482
A. Y. Wong, B. H. Quon, Spatial collapse of beam-driven plasma waves Physical Review Letters. ,vol. 34, pp. 1499- 1502 ,(1975) , 10.1103/PHYSREVLETT.34.1499
Alfredo Sanchez, Roger D. Bengtson, Observation of Stark Broadening of Helium in a Turbulent Plasma Physical Review Letters. ,vol. 38, pp. 1276- 1279 ,(1977) , 10.1103/PHYSREVLETT.38.1276
G. J. Morales, Y. C. Lee, R. B. White, Nonlinear Schrödinger-Equation Model of the Oscillating Two-Stream Instability Physical Review Letters. ,vol. 32, pp. 457- 460 ,(1974) , 10.1103/PHYSREVLETT.32.457
H. C. Kim, R. L. Stenzel, A. Y. Wong, Development of ''cavitons'' and trapping of rf field Physical Review Letters. ,vol. 33, pp. 886- 889 ,(1974) , 10.1103/PHYSREVLETT.33.886
G. J. Morales, Y. C. Lee, Spiky turbulence generated by a propagating electrostatic wave of finite spatial extent Physics of Fluids. ,vol. 19, pp. 690- 704 ,(1976) , 10.1063/1.861529
G. J. Morales, Y. C. Lee, Ponderomotive-Force Effects in a Nonuniform Plasma Physical Review Letters. ,vol. 33, pp. 1016- 1019 ,(1974) , 10.1103/PHYSREVLETT.33.1016
N. R. Pereira, R. N. Sudan, J. Denavit, Numerical simulations of one-dimensional solitons Physics of Fluids. ,vol. 20, pp. 271- 281 ,(1977) , 10.1063/1.861864
R. L. Stenzel, W. Gekelman, Nonlinear interactions of focused resonance cone fields with plasmas Physics of Fluids. ,vol. 20, pp. 108- 115 ,(1977) , 10.1063/1.861698