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In this paper we study conservation laws of modified Korteweg-de Vries-Kadomtsev Petviashvili equation (mKdv-KP). This equation does not have a classical Lagrangian so one can not apply Noether's celebrated theorem. However, we show that using the partial Lagrangian approach and multiplier method one can obtain a number of local and nonlocal conservation laws for underlying equation.

On the conservation laws of modified KdV-KP equation