  We establish the nonlinear stability of solitary waves (solitons) and
periodic traveling wave solutions (cnoidal waves) for a Korteweg-de Vries (KdV)
equation which includes a fifth order dispersive term. The traveling wave
solutions which yield solitons for zero boundary conditions and wave-trains of
cnoidal waves for nonzero boundary conditions are analyzed using stability
theorems, which rely on the positivity properties of the Fourier transforms. We
show that all families of solutions considered here are (orbitally) stable.
