Ion acoustic solitary waves in a weakly relativistic plasma under transverse p erturbations

Abstract

Kadomtsev-Petviashvili(KP) equation is derived for unmagnetized,relativistic and hot ion plasmas.The result suggests that the nonlinear ion acoustic solitary waves in a relativistic hot ion plasma are stable even when there are some higher-order transverse perturbations.There are only compressive solitary waves in the relativistic hot ion plasmas,this has been vertified analytically in this paper.