Question

Chromatography is the process of separation of one or more solutes dissolved in the same solvent......Is this correct definition of chromatography?​

Answer 1

Chromatography is a technique employed for the separation of mixtures  of dissolved substances. Which was originally used to separate colored dyes.

Answer 2

Seems somewhat correct to me, however, you might want to mention that the components move at different rates/ have different solubility.

Here's a better definition (from google),

A technique for the separation of a mixture by passing it in solution or suspension through a medium in which the components move at different rates.