Cylindrical and spherical dust-acoustic wave modulations in dusty plasmas with non-extensive distributions

Pramana

M Eghbali1¹  B Farokhi¹ 

[1] Department of Physics, Faculty of Sciences, Arak University, Arak 38156 8 8349, Iran$$

关键词: Nonlinear Schrödinger equation;    modulation instability;    non-planar;    non-extensivity.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The nonlinear wave modulation of planar and non-planar (cylindrical and spherical) dust-acoustic waves (DAW) propagating in dusty plasmas, in the presence of non-extensive distributions for ions and electrons is investigated. By employing multiple scales technique, a cylindrically and spherically modified nonlinear Schrödinger equation (NLSE) is derived. The presence of hot non-extensive 𝑞-distributed ions and electron is shown to influence the modulational instability (MI) of the waves. It is shown that the properties of the MI of DAW in cylindrical and spherical geometries differ from those in a planar one-dimensional geometry. Furthermore, it is observed that the non-extensive distributed ions have more effect on the MI of the DAW than electrons. Also, it is found that there is a MI period for cylindrical and spherical wave modulations, which does not exist in the one-dimensional case.

【 授权许可】

Unknown