Nah, could'nt do it, at first I thought they are not for fishing, but now as you ask this I see they just require more skill.
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The require you to wear down their stamina like any other fish before catching. They have large stamina pools, but they actually don't regenerate stamina any faster than the blue fish, meaning that after you've fought him for a while, he's weakened and you can reel him in. He puts up a hell of a fight before that though.