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George Bluman
Thu 28 May 2015, 2:00pm
Symmetries and Differential Equations Seminar
Direct construction of conservation laws and connections between symmetries and CLs. Part I
Thu 28 May 2015, 2:00pm-3:00pm


In this first lecture on the construction of the conservation laws for a DE system, we present the Direct Method.  This leads to the direct construction of the CLs for essentially any DE system in a systematic framework.  The classical Noether's Theorem only works for variational systems and also requires the construction of the Lagrangian.  The Direct Method involves working directly with a given DE system.  The second lecture will show explicitly how the Direct Method generalizes Noether's Theorem and overcomes all of its limitations.