The Burgers-KdV Equation of Ion Acoustic Waves

It is extensively used in the applied science that nonlinear system is reduced to a tractable single nonlinear equation by reductive perturbation method (RPM).RPM is efficient for dissipative system or dispersive system.But when the nonlinear system contains both dissipative and dispersive effects this method is not applicable.In this paper some changes are made to this method for the ion acoustic wave in plasma.And as a result,the Burgers-KdV equation is derived.This paper also discusses its solution.