Are there any legitimate Islamic solutions for a wife whose husband only has intercourse with her every four months, which does not satisfy her desire?

This act is wrong and contrary to marital cohabitation in a befitting manner. The husband must cohabit with his wife in a way that suffices her needs. Abandoning her for four months is not considered cohabitation in a befitting manner. If the woman is harmed by this, she has the right to seek annulment of the marriage. The opinion that sexual intercourse becomes obligatory after four months is weak. The correct view is that the husband must cohabit with his wife in a way that fulfills her needs.