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.

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