Internal explosions for nuclear pulse propulsion would not work,
the blast would destroy the vehicle. For explosive nuclear pulse
propulsion to work, the explosions must be external with the blast
pushing against a spherical section "pusher plate" coated with a
thin oil film to prevent erosion. Look up the "Orion Project" from
late 50s until 63 worked on by General Atomic near San Diego.
One interesting thing about "Orion" launches is that they always
take about 60 bombs to go from surface to orbit, regardless of
payload weight (you just need bigger bombs).
Want to launch New York city into orbit? Orion can do it!