No, Pokemon Black and White are compatible with all versions of Nintendo's DS line.
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It has been neither confirmed nor denied, though if you cannot then you can probably trade Pokemon over to HeartGold and SoulSilver to transfer onto it. There have been no announcements of the Pokewalker to be included with Pokemon Black and White. Since Pokemon Black and White feature new Pokemon, not obtainable in HeartGold or SoulSilver, then the chances of the Pokewalker being compatible with Pokemon Black and White is low. The only other solution is for Nintendo to make a new Pokewalker device to work along side Pokemon Black and White.
white version + anti freeze = 1837463
No, it is a version exclusive to Pokemon White. You'll have to trade it from someone who has that version.
Cynthia has a Mandibuzz in White version. And for Black version she has a Braviary.
In the white forest.