Is ice dragon and water dragon the different?

Well, I presume you are speaking of the "myths," so I shall answer with the Ice Dragon and Water Dragon.

There are multiple differences between the two. One difference is that of their colors. Ice Dragons are primarily white in color while water dragons have a wide range of pastels for their color, which can be shades of blue, purple, and black. Ice dragons live in the arctic, and water dragons live in the water, hunting for food with their flippers, using their spiked tails and teeth for a weapon. Ice dragons usually freeze their food. Personalities differ as well, as Ice dragons are deemed evil and cruel and Water ones are peaceful and majestic.

These are just some of the many differences.