New exact solutions and conservation laws of the (2+1)(2+1)-dimensional dispersive long wave equations

By using the modified CK's direct method, we derive the symmetry group theorem to (2+1)(2+1)-dimensional dispersive long wave equations. Some new exact solutions of (2+1)(2+1)-dimensional dispersive long wave equations are obtained by applying our theorem and given solutions. We also get conservation laws of the equations with the corresponding Lie symmetry.