How to replicate this Amplitube Amp to a real Amp

Dec 20, 2017
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Colorado
So for awhile I was playing just through Amplitube using the Solid State Preamp that comes free with the software. After awhile I went ahead and picked up a Fender Rumble 25. It's a great amp and I enjoy playing it, but I'm trying to figure out if it's in any way possible to get my Fender to sound like this Solid State Amp that I was using through Amplitube. It has such a warm and beautiful sound, and the Fender is more...Raw? I don't know how to describe it. For some songs I want that warmer smooth sound.

I don't use any effect pedals or anything, and I'm still somewhat newbish to this kind of stuff, so I apologize if what I'm asking sounds dumb or isn't possible.
 
After doing some reading, it seems like some folks have a vintage button on their Fender, but mine doesn't. Perhaps it's something an effect pedal can tackle, but I'll do some more reading.