On the Conservation Laws of Modified KdV-KP Equation

Emrullah Yaşar, Sait San

In this paper we study the conservation laws of modified Korteweg-de Vrie---Kadomtsev Petviashvili equation (mKdV-KP). As the considered equation is of evolution type, no recourse to a Lagrangian formulation is made. However, we show that using the partial Lagrangian approach and the multiplier method one can obtain a number of local and nonlocal conservation laws for underlying equation.