Self-adjointness and conservation laws for a new integrable equation

摘要

ln this work we study a generalization of an integrable equation proposed by Qiao and Liu from the point of view of the theory of symmetry group transformations in partial differential equations. We determine the subclass of these equations which are quasi-self-adjoint. By using a general theorem on conservation laws proved by Nail Ibragimov we find conservation laws for some of these partial differential equations without classical Lagrangians.