The best way to tell tulwar from shamshir IMO is to look for the presence of a ricasso (the unsharpened area at the base of the blade). Ricasso on this type of blades is a unique feature identifying a sword as a tulwar. If the blade is sharpened evenly all the way to the hilt, it can be called a shamshir. From the pictures you provided, it does not appear that the ricasso is there but perhaps I am just not seeing it? The hilt shape. although not a typical one, definetely points at Indo Persia as a country of origin.
In conclusion I'd like to say that it is is a lovely and unusual sword you have there!
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