Exact solution of viscous-plastic flow equations for Glacier dynamics in 2-dimensional case

Here is presented a new exact solution of Ice dynamics in Glaciers in terms of viscousplastic theory of movements, for 2-dimensional case. In general case, 2-D solution of Ice dynamics could be classified as Riccati’s type. Due to a very special character of Riccati’s type equation, it’s general solution is proved to have a proper gap of components of such a solution. It means a possibility of sudden gradient catastrophe at definite moment of timeparameter, in regard to the components of solution (2-D profile of Glacier, 2-D components of ice velocity moving). That’s why surging glacier seems to be accelerating from time to time: it’s velocity of moving is suddenly rising from few meters to hundreds meters /per day.