Physics of Plasmas · 2006 · 34 citations · 23 references
Natural SciencesPhysicsElectromagneticsElectromagnetismPlasma PhysicsHigh-temperature PlasmasLow-temperature PlasmasMagnetized PlasmaPlasma FundamentalsPlasma WavesDensityKorteweg - De Vries EquationMagnetic Field InhomogeneityMagnetized Plasma WavesPlasma Wave PropagationSolitonsSolitons In PlasmasWave Propagation In Magnetized Plasmas
Considering an inhomogeneous plasma having negative ions, positive ions, and electrons, relevant modified Korteweg-de Vries equations are derived and solved for obtaining the expressions of amplitudes and widths of the incident and reflected solitons together with the reflection coefficient under the combined effect of magnetic field, obliqueness (angle θ between the magnetic field and the direction of wave propagation) and ion temperature. A limit is found on the obliqueness θ for the reflection of incident soliton, which shows a dependence on the density, temperature, and drift velocity of both the ions. The incident solitons are observed to reflect more strongly under the effects of weak magnetic field, higher negative ion density, higher ion temperature, stronger density gradient and smaller angle θ. It is inferred that whereas the incident solitons show faster change in their characteristics with the ion density, the reflected solitons are more sensitive to the ion temperature.
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Korteweg-de Vries Soliton in a Slowly Varying Medium
K. Ko, H. H. Kuehl · Physical Review Letters · 1978 · 165 citations
Natural Sciences, Physics, Acoustics +13
Exact solitary ion acoustic waves in a magnetoplasma
P. K. Shukla, M. Y. Yu · Journal of Mathematical Physics · 1978 · 162 citations