Ion acoustic solitary waves in relativistic plasmas

Abstract

In a recent paper, Roychoudhury and Bhattacharyya [Phys. Fluids 30, 2582 (1987)] found solitary wave solutions in a relativistic plasma using an approximate pseudopotential. Since the integral of an approximation to a differential equation does not always approximate the integration of the differential equation, in the present paper a rigorous analytical study has been made to find the conditions for existence of soliton solutions in a relativistic plasma.