In my years of studying swords, I've found that swords similar to what you are asking about tend / seem to be fairly rare.
It's difficult to say exactly in which context they existed, they may have been special orders, ceremonial, or for a specific purpose.
Generally speaking the swords are referred to as a flamberge though the name flamberge nominally applies to large to two handed swords, and the reputed reason the flamberge possessed undulating, flame like blades was for 'sawing' the tips from pikes, making it easier for a pike formation to be broken up.
A little Indian brave who before he was ten/played war games inthe woods with his Indian friends/& he built a dream that when he grew up/he would be a Fierce Warrior Indian Chief
Many moons passed & for the boy the dream grew strong until tomorrow he would sing his first war song/& fight his first battle/but something went wrong
Suprise attack killed him in his sleep that night
And so castles made of sand/melt into the sea/eventually