 Generalized KdV solitary wave

If $Q^{\prime \prime }-Q+Q^p=0$, thensatisfies $Q_c^{\prime \prime }-c{Q}_c+Q_c^p=0$, and $u(t,x)=Q_c(x-ct)$ is a traveling-wave solution of the Generalized Korteweg–De Vries equation.