It depends on whether the light is within a medium or just in vacuum. Afaik light in vacuum behaves entirely linear (so waves of different frequencies don’t interact). But there are materials where light does indeed interact with light of different frequencies. One effect like this is so-called four-wave mixing. https://en.wikipedia.org/wiki/Four-wave_mixing?wprov=sfla1
In general you can take a look at non linear optics