C Nonlinear Wave Modulation of Electrostatic Waves (Part IV. Applications to the Vlasov Plasma)

概要

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Nonlinear wave modulation of electrostatic waves in collisionless plasma is examined by applying the reducive perturbation method to the one dimensional Vlasov-Poisson equations. It is shown that the nonlinear wave-particle resonant effect leads to the modified nonlinear Schrodinger equation with a nonlocal-nonlinear term, [table] where φ (ξ, γ) is the small but finite complex potential amplitude, and γ and ξ are stretched variables in the reductive perturbation theory. 〓 denotes a Cauchy principal part. Besides giving rise to the nonlocal-nonlinear term, the contribution of the resonant particls having the group velocity of the wave modifies the local nonlinear coupling coefficient q. The effect of the nonlocal-nonlinear term is described explicitly by investigating the modulation instability of the electrostatic waves.
理論物理学刊行会の論文
1975-01-31