Multi-lump solutions of KP equation with integrable boundary via $\overline{\partial }$-dressing method

V. G. Dubrovsky, A. V. Topovsky

We constructed the new classes of exact multi-lump solutions of KP-1 and KP-2 versions of KP equations with integrable boundary condition $u_y{|}_{y=0}=0$ by the use of $\overl…