In this paper it is shown that the inviscid Burgers equation is nonlinearly self-adjoint. Then, from Ibragimov's theorem on conservation laws, local conserved quantities are obtained. Mathematical subject classification: Primary: 76M60; Secondary: 58J70.
Lie point symmetry; Ibragimov's Theorem; conservation laws; inviscid Burgers equation; nonlinear self-adjoint equations; weak self-adjoint equations