Manga Like Butterfly Love Effect

Bullied at school and abused at home, Sul-Bi, a high school senior struggling with her interest in other girls and her dull life, is on the verge of ending it all. That is, until she runs into an odd girl, wandering the streets with no memory of who or where she is. Instantly falling for this mysterious girl who has no memories and doesn't feel any pain or hunger, Sul-Bi gives her a new name, Gu Seju, meaning "Savior". The only clue of Seju's identity is a mysterious note that appears in her pocket each day. Sul-Bi sticks with her, determined to help and solve the mystery that is Seju. However, as the mystery unfolds... Sul-Bi discovers a secret beyond anything she could imagine: Seju is her future girlfriend who has traveled back in time to see her??!!!! (Source: Pocket Comics)