Symmetry Reduction, Exact Solutions and Conservation Laws of the Modified Kadomtzev–Patvishvili-II Equation

Employing the modified Clarkson–Kruskal direct method, we realize the symmetries of the nonlinear (2+1)-dimensional modified Kadomtzev–Patvishvili-II equation. Applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions. We also obtain conservation laws of the equations with the corresponding Lie symmetry.