  New classes of exact multi-soliton solutions of KP-1 and KP-2 versions of
Kadomtsev-Petviashvili equation with integrable boundary condition
$u_{y}\big|_{y=0}=0$ by the use of $\overline\partial$-dressing method of
Zakharov and Manakov are constructed in the paper. General determinant formula
in convenient form for such solutions is derived. It is shown how reality and
boundary conditions for the field $u(x,y,t)$ in the framework of
$\overline\partial$-dressing method can be satisfied exactly. Explicit examples
of two-soliton solutions as nonlinear superpositions of two more simpler
\,"deformed"\, one-solitons are presented as illustrations: the fulfillment of
boundary condition leads to formation of bound state of two more simpler
one-solitons, resonating eigenmodes of $u(x,y,t)$ in semi-plane $y\geq0$ as
analogs of standing waves on the string with fixed end points.
