New analytical solutions for dust acoustic solitary and periodic waves in an unmagnetized dusty plasma with kappa distributed electrons and ions

作者：Saha Asit^*; Chatterjee Prasanta

来源：Physics of Plasmas, 2014, 21(2): 022111.

DOI：10.1063/1.4864626

Dust acoustic solitary waves and periodic waves in an unmagnetized dusty plasma with kappa distributed electrons and ions are investigated through non-perturbative approach. Basic equations are reduced to a system of ordinary differential equations involving electrostatic potential. After that by applying the bifurcation theory of planar dynamical systems to this system, we have studied the existence of solitary wave solutions and periodic wave solutions. New analytical solutions for the above waves are derived depending on the parametric space. Regarding the solitary and periodic wave solutions, the combined effects of temperature ratio (sigma) of ions and electrons, spectral index (kappa) and density ratio (p) are studied on characteristics of dust acoustic (DA) solitary waves and periodic waves. The spectral index (kappa), density ratio (p) of ions and electrons and temperature ratio (sigma) significantly influence the characteristics of dust acoustic solitary and periodic structures.

• 出版日期2014-2