论文摘要
在利用齐次平衡法解非线性偏微分方程时,通常令方程的拟解ω（x,t）=1+e（mx+nt+ξ0）。本文将拟解的形式推广为ω（x,t）=mx+nt+ξ0和ω（x,t）=A+Be（mx+nt+ξ0）,利用推广的齐次平衡法得到Burgers方程,修正的Kawahara方程,Boussinesq方程,Boussinesq方程组,KdV方程,Whitham-Broer-Kaup浅水波方程组,Sharma-Tasso-Olver方程更一般的精确解。
论文目录
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