Evolution of ion–ion acoustic instability in multi-ion plasma sheaths

Nassiri-Mofakham, Nora

doi:10.1007/s11071-018-4326-7

Cited by 3 publications

(1 citation statement)

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“…Most of the studies on the nonlinear evolution of electrostatic traveling waves were based on the conventional methods such as perturbation techniques for small but finite amplitude limit which truncates the higher order nonlinearities [29][30][31][32][33][34][35]. For this case, the plasma model is described by a class of integrable nonlinear differential equations with the solitary wave solutions.…”

Section: + -mentioning

confidence: 99%

Normal form for bifurcations of ion acoustic traveling waves in positive-negative ion species plasmas

Alinejad,

Poria

2023

Phys. Scr.

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The normal form for saddle-node and transcritical bifurcation of nonlinear ion-acoustic waves is derived in complex negative-positive plasmas. The physical parameters of four different kinds of multi-ion plasmas which mainly comprise of positive ions (i.e., Xe+ and Ar+) with a minority constituent of negative ions (i.e., SF-6 and F-), inspired from the experimental studies, are examined on the types of bifurcations and nonlinear wave proﬁles. We ﬁnd that such multi-ion plasmas admit transcritical bifurcation preceding the onset of saddle-node bifurcation. The fractional concentration of negative ions controls the dynamics of ion acoustic traveling waves and causes the appearance of solitary structures and supernonlinear periodic waves. When two nonlinear waves disappear via a saddle-node bifurcation on increasing the negative ion concentration, a nonlinear periodic wave is formed. Further, we reveal critical values of ion density marking the transition between nonlinear modes. Such critical points that can be detected analytically give rise to the propagation of new solitary structures. The results obtained here not only limited to laboratory plasmas, but can also be applied to explain wave excitations in space plasma environments.

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