  This paper establishes the global existence of smooth solutions to the 2D
isentropic and irrotational Euler equations for Chaplygin gases with a general
class of short pulse initial data, which, in particular, resolves in this
special case, the Majda's conjecture on the non-formation of shock waves of
solutions from smooth initial data for multi-dimensional nonlinear symmetric
systems which are totally linearly degenerate. Comparing to the 4D case, the
major difficulties in this paper are caused by the slower time decay and the
largeness of the solutions to the 2D quasilinear wave equation, some new
auxiliary energies and multipliers are introduced to overcome these
difficulties.
