Generalized KdV solitary wave
= Generalized KdV solitary wave
{c}
If $Q''-Q+Q^p=0$, then
$$
Q_c(x)=c^{1/(p-1)}Q(\sqrt c\,x)
$$
satisfies $Q_c''-cQ_c+Q_c^p=0$, and $u(t,x)=Q_c(x-ct)$ is a traveling-wave solution of the <Generalized Korteweg–De Vries equation>.