They could start by talking it out. Percy could apologize for his part in the fight, like if he was too hasty or inconsiderate. Annabeth, in turn, could admit if she overreacted. Simple communication is often the key to resolving disputes.
In a fanfiction scenario, Percy and Annabeth are in a new magical realm. Percy wants to immediately explore a mysterious, dangerous-looking cave because he senses there might be something important inside for their quest. Annabeth, being the more cautious one, opposes it, saying they need to gather more information first. They have a heated argument. But when Percy accidentally triggers a trap near the cave entrance, Annabeth saves him without hesitation. This makes Percy realize that he should listen to her more, and they make up.
Perhaps jealousy plays a part. If Percy got a bit too friendly with another character, Annabeth might get jealous and they fight. However, they soon remember their strong bond and how much they mean to each other, so they make up. It's a common trope in fanfiction as it shows the depth of their relationship.
The reconciliation could happen simply with an apology. Percy might be the first to say he's sorry for being so stubborn during the fight. Annabeth, seeing his sincerity, would forgive him and they would hug it out, realizing their relationship is more important than whatever they were arguing about.
Misunderstandings about their future plans often lead to fights. Percy might want to focus on one type of adventure while Annabeth has other ideas. They argue about it, but in the end, the love between them overcomes the differences and they kiss. This shows how their relationship is complex and full of different opinions that need to be resolved.
In fanfiction, they might break up because of outside pressure. For example, if the gods or some powerful force tries to keep them apart for some reason. However, their strong bond and shared memories would eventually lead to their make - up. Their adventures together, like the time they spent in Tartarus, are so significant that they can't stay apart for long.
Another reason might be the stress of their quests. They are constantly under pressure to save the world or their friends. This stress can build up and cause them to lash out at each other. For instance, if a quest isn't going well and they keep hitting dead ends, they might start blaming each other for mistakes made along the way.
Well, it could be about different understandings of Percy. Annabeth knows Percy as a demigod, as a hero in their world. Rachel, on the other hand, might see Percy in a different light, more as an individual outside of the demigod stuff. They might fight because they both think they know what's best for Percy and how he should be. Also, it could be a fight for Percy's future. Annabeth might want Percy to stay in the demigod world and continue their adventures together, while Rachel could have different plans for him.
Their friends would be really worried during the break - up. For example, Grover might try to play the peacemaker. And when they make up, the friends would be relieved. They know how important Percy and Annabeth are to each other and to the group as a whole.
Well, in the context of fanfiction, it can be a matter of creative interpretation. However, in a school setting, it's generally not considered appropriate behavior in real - world norms. But in the fictional world of fanfiction, some might see it as a way to explore the characters' relationships more deeply and passionately.