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We constructed new classes of exact multi-lump solutions of mKP-1,2 equationswith integrable boundary condition $u(x,y,t)\big|_{y=0}=0$ by the use of$\overline\partial$-dressing method of Zakharov and Manakov. We exactlysatisfied reality and boundary conditions for the field $u(x,y,t)$ usinggeneral determinant formula for multi-lump solutions. We illustrated newcalculated classes by simple examples of two-lump solutions and demonstratedhow fulfilment of integrable boundary condition $u\big|_{y=0}=0$ via specialnonlinear superposition of several single lumps leads to formation of certaineigenmodes for the field $u(x,y,t)$ in semiplane $y\geq0$, the analogs ofstanding waves on the string arising from corresponding boundary conditions atendpoints of string.

Multi-lump solutions of mKP-1,2 equations with integrable boundary condition via $\overline{\partial}$-dressing