  An integrable extension of the well known nonlinear Schroedinger (NLS)
equation to a higher space-dimension, recently proposed by us, is investigated,
exploring its various important aspects. Focusing on the idea of construction
its connection with other known models like the Zakharov equation and the
Strachan construction is shown. The underlying integrable structures like the
Lax pair, the infinite conserved charges and the higher soliton solutions are
presented in the explicit form. The related 2D rogue wave model and other
applications are focused on.
