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New conservation laws for inviscid Burgers equationDOI: 10.1590/s1807-03022012000300007 Keywords: Lie point symmetry , Ibragimov's Theorem , conservation laws , inviscid Burgers equation , nonlinear self-adjoint equations , weak self-adjoint equations Abstract: 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.
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