离子声波的Burgers-KdV方程

约化扰动法将非线性系统,化为单个的简单非线性方程被广泛地应用。它对耗散系统和色散系统都是很有效的,但是对于实际问题中既包含耗散又包含色散效应的非线性系统,直接应用这种方法遇到困难。本文研究了非不变的远方场情况,推广应用这种方法于等离子体离子声波扰动,推导出Burgers～KdV方程。并讨论了它的解。 

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.