  We study higher order KdV equations from the GL(2,$\mathbb{R}$) $\cong$
SO(2,1) Lie group point of view. We find elliptic solutions of higher order KdV
equations up to the ninth order. We argue that the main structure of the
trigonometric/hyperbolic/elliptic $N$-soliton solutions for higher order KdV
equations is the same as that of the original KdV equation. Pointing out that
the difference is only the time dependence, we find $N$-soliton solutions of
higher order KdV equations can be constructed from those of the original KdV
equation by properly replacing the time-dependence. We discuss that there
always exist elliptic solutions for all higher order KdV equations.
