Putting myself in the position of the Erebus captain:
First thing I try and do is use my main cannon to hit the Solaris's engines. This got discussed already by Luis Dias, but the range at which these ships engage eachother is a deciding factor. If the Solaris is disabled, I can dictate the range: Therefore, I can hold position out of Gattler-Apoc range but within beam range. The ability to kill a specific subsystem from long range is one of the Tev's advantages.
Meanwhile I scramble interceptors as fast as possible (Dracos, Atalantas, Auroras... plus Nyx wings for anti-gunship). If the disabling strike works, I hold my interceptors back near my ship, where my point defenses improve their odds against incoming UEF fighters and bombers. In short, my strikecraft focus on Defense, since, I'm out of range of the Solaris's turrets.
The question then becomes whether or not my beams can destroy the Solaris before hostile bombers strip them off. To make it harder on the bombers I'd try to keep moving... maybe even do barrel rolls? Five shots from a HBlue is enough to kill a Solaris. If worst comes to worst and I loose my longer ranged beams, hopefully I'll already have inflicted enough damage to go it closer (dictating the angle) and finish the Solaris off with my lighter beams.
The big issue here is whether or not I can hit the engine... I'd need to take a closer look at the geometry of the Solaris's engine subsystem.
I need to think a bit about what I'd do as the Solaris captain.