Izuku's character development would be quite complex. With Wolverine - like abilities, he'd have to learn to control the more animalistic and violent aspects, like the berserker rage. This would force him to grow in terms of self - control. He might also become more isolated at first, as he tries to figure out these new powers on his own. But eventually, he'd learn to use them in harmony with his friends and classmates, becoming a stronger leader in the process. Also, his relationships with his classmates would change. Some might be in awe of his new powers, while others might be a bit scared. He'd have to work to maintain those relationships while still exploring his new capabilities.
A plot could revolve around Wolverine being sent to the My Hero Academia world to hunt down a mutant - like being that has escaped into this universe. However, he quickly realizes that the world has its own set of rules and heroes. He teams up with Midoriya and the others to find this being. Along the way, he teaches them about survival and the harsher side of combat, which is different from what they learn at UA. And in the end, they all learn from each other and Wolverine has a newfound respect for the young heroes.
One way they could exist in the same universe is through a crossover event. Maybe some sort of interdimensional rift brings Wolverine into the My Hero Academia world. His mutant powers would be quite different from the Quirks in MHA, which could lead to interesting interactions. For example, his healing factor might be seen as an extremely powerful Quirk, and heroes or villains in the MHA world could either be in awe of it or try to find a way to counter it.
One great example could be a fanfic where Izuku gains Wolverine's healing factor. This would completely change the dynamic of his battles in the My Hero Academia universe. He could be more reckless in combat, knowing he can quickly recover. Another example might involve Izuku learning Wolverine's combat style, which is very aggressive and up - close. This could add a new layer to his fighting techniques and make him a more formidable opponent.
Well, Wolverine could fit into the My Hero Academia storyline as a foreign hero or a special guest. His mutant powers would be seen as a very unique form of 'quirk' in the MHA world. He could be brought in to train the students at UA, sharing his combat experience which is far different from what they usually get. Maybe he could be part of a special international hero exchange program.
In a fanfiction, Wolverine could have a complex relationship with the villains. Some villains might be afraid of him because of his reputation and power. But there could be a villain who tries to manipulate Wolverine's past traumas. This could lead to some intense emotional and physical battles, as Wolverine has to fight not only the villain's powers but also his own inner demons.
In 'Wolverine Origins', Logan's wife was Kayla Silverfox. Her story is one of love and tragedy. She was a mutant with the ability to manipulate others' minds. She was sent by Stryker to get close to Logan. However, she truly fell in love with him. Eventually, she was killed by Stryker as part of his plan to manipulate Logan further, which was a great loss for Logan and a turning point in his character development.
One main event is his discovery of his mutant powers at a young age. This changes his life forever. Another is his encounter with Sabretooth, which is a long - standing and complex relationship. Also, the adamantium bonding to his skeleton was a huge event in his story.
Wolverine's origin story is quite fascinating. He was born with a mutant ability to rapidly heal from any wound. His real name is James Howlett. His early life was filled with tragedy, which led him on a path of self - discovery and survival. He has a skeleton laced with adamantium, which makes him extremely tough in combat.