In article .com,
wrote:

Our Solar System is called the "Solar System", as simple as that.

Or maybe you would prefer to call it the "Sun System", since that the
central star is named as "Sun" in English.

Of course, as it already been mentioned, the "Sol System" is a
favourite calling used by many Sci-Fi stories.

"Solar System" is correct, as the Sun's name is "Sol".