# Popovych R. Conservation laws of even-order evolution equation, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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**Speaker**: Roman Popovych

**Title**: Conservation laws of even-order evolution equation
**Abstract**:

We solve the inverse problem on conservation laws of (1+1)-dimensional evolution equations. This allows us to exhaustively describe conservation laws of even-order evolution equations. In particular, we prove that if the dimension of the space of conservation laws of an even-order evolution equation is greater than its order, then this equation is linearizable by a contact transformation. As an illustrating example, we completely classify conservation laws of fourth-order evolution equations up to contact equivalence. Some related results are also discussed. A joint work with A.Sergyeyev.