Finite amplitude ion-cyclotron and ion-acoustic waves and solitons propagating obliquely in a magnetized warm-ion plasma are considered using exact ion dynamics and quasi-neutrality. The effect of finite ion temperature is to decrease the amplitude of the soliton and increase its width. The behaviour of the amplitudes of ion-cyclotron and ion-acoustic waves is studied as a function of EO, where EO is
The unstable domain in the (k, Ø) plane for oblique modulation of ion-acoustic waves, in a two-electron-temperature plasma, is investigated using the KBM perturbation technique. It is shown that, in a collisionless plasma, the maximum growth rate for the modulational instability, for large carrier-wave amplitudes (a0 ≳ 0·1), exceeds the electron Landau damping rate for sufficiently oblique modulation.
A new analytical solution is obtained for an ion-acoustic soliton, which is much closer to the exact solution than the Korteweg–de Vries (KdV) solution. The case of a two-ion plasma is considered in detail, and the results are compared with those of the dressed soliton solution. The effect of multiple ionization of the ion species is also discussed.
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