【摘要】 基于对Burgers方程、KdV方程和Burgers KdV方程特点的分析,提出了一种由Burgers方程的解和KdV方程的解构造Burgers KdV方程的解的叠加法,并用该法求得了Burgers KdV方程的解,所得结果与已有结果完全吻合.更多还原

【Abstract】 In this paper, based on the careful analysis of the features of the Burgers equation and the KdV equation as well as the Burgers-KdV equation, the superposition approach which is commonly believed to simplify work for linear partial differential equations is proposed to construct the solutions to the Burgers-KdV equation. Moreover, the exact analytical solutions to the Burgers-KdV equation are successfully derived by means of this method. The results obtained herein are in very good agreement with those given in the existing literature.更多还原