  There is considerable fundamental theoretical and applicative interest in
obtaining two-dimensional rogue wave similar to one-dimensional rogue wave of
the nonlinear Schr\"odinger equation. Here, we first time proposes a
self-mapping transformation and analytically predict the existence of a family
of novel spatio-temporal rogue wave solutions for the Kadomtesv-Petviashivili
equation. We discover that these spatio-temporal rogue waves showing a strong
analogy characteristics of the short-lives with rogue waves of the NLS
equation. Our fingdings can also provide a solid mathematical basis for theory
and application in shallow water, plasma and optics. This technique could be
available to construct rogue-like waves of (2+1)-dimensional nonlinear wave
models. Also, these studies could be helpful to deepen our understandings and
enrich our knowledge about rogue waves.
