The solar combinations are built on the same geometry as the lunar ones, planets standing in the second, the twelfth, or both places from a luminary, and the parallel is exact enough that the two sets are usually presented together. Where they differ is in the exclusion: the Moon is excluded from forming the solar flanking yogas, as the Sun is from the lunar ones, so that a luminary is never read as its own attendant.
The class is smaller than the lunar one and used less, and the classical handbooks give it correspondingly less space. That imbalance is a fact about the corpus rather than a judgment about the Sun, and it is consistent with the general weighting of jyotisha, which treats the Moon as the principal significator of the mind and gives it a larger share of the interpretive apparatus than the Sun receives.
Budha Aditya, the conjunction of Mercury with the Sun, is the member of this class most often cited in modern practice, and it carries a standing complication: Mercury conjunct the Sun is by definition close to it and therefore liable to combustion, which the tradition treats as weakening. The combination and the condition that undermines it arrive together, and the handbooks discuss both.