The Cairns-Tsallis model for ion acoustic cnoidal (periodic) waves
الموضوعات : Journal of Theoretical and Applied Physics
1 - Physics Department, Islamic Azad Uni., Aligudarz Branch, Aligudarz, Iran
الکلمات المفتاحية: Electron-positron-ion plasma, Ion-acoustic nonlinear wave, Cnoidal wave, Sagdeev potential, Hybrid Cairns-Tsallis distribu,
ملخص المقالة :
In this paper, considering the importance of ion acoustic waves in nonlinear phenomena of plasma, the combined effects of nonextensivity and nonthermality parameters on the ion acoustic cnoidal nonlinear waves studied. In this regard, the hybrid Cairns-Tsallis distribution function used to describe the electrons and positrons. Conditions of formation of nonlinear ion acoustic waves and permissible values of nonextensivity (Q) and nonthermality (a) parameters were determined and the behavior of these waves with changes in these parameters in this type of plasma have been studied. For this purpose, we have used the reductive perturbation method (RPM) to derive the corresponding KdV equation for the ion acoustic wave, then considering the Sagdeev potential, the conditions for the generation of ion acoustic waves in the cnoidal and soliton form discussed. The effect of nonextensivity (Q) and nonthermality (a) parameters on the Sagdeev potential (potential well width and depth), wave amplitude and frequency investigated. The results show that for all of the acceptable values of Q and a the cnoidal ion acoustic wave is compressive.
