Theory for Two-Dimensional Stability of Coupled Langmuir and Ion-Acoustic Solitary Waves

概要

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Perpendicular stability of the one-dimensional propagation of coupledLangmuir and ion-acoustic solitary waves against perturbations varying slowlyin both space and time is investigated theoretically. The system is assumed to beisotropic and describable by the collisionless two-fluid equations with zero iontemperature. Both near-sonic and subsonic solitary waves are considered and theperturbations are assumed to be represented in terms of the amplitude andvelocity perturbations of the solitary waves. It is found that except for the case ofvanishing propagation speed, the amplitude perturbation grows initially butdamps asymptotically for long times, whereas the velocity perturbation alwaysdamps with time. The time evolution of the perturbations is scaled by theirwavenumber, and the maximum amplification factor increases with the solitarywave amplitude.
社団法人日本物理学会の論文
1978-02-15