You can use certain moves that trap the Pokemon so that they can not Escape. (Mean look is one of them) You can also put the Pokemon to sleep or use a Master Ball on them.
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no you can trade soulsilver pokemon to black
You CANNOT LEGALLY download Pokemon Soulsilver.
You'll need to trade for it from Pokemon HeartGold. It is not avilable in the wild in Pokemon SoulSilver.
there is a mew in Pokemon soulsilver but you need to catch all leadndery Pokemon including event Pokemon
It is impossible to move a Pokemon from SoulSilver to Sapphire as the two games are from different generations, you can only migrate Pokemon from Sapphire to SoulSilver.