Abstract

Using the language of jet spaces, for any analytic PDE E we define, in a coordinatefree way, a family of associative algebras A(E). In the considered examples, which include the KdV, Krichever-Novikov, nonlinear Schr¨odinger, Landau-Lifshitz equations, the algebras A(E) are commutative and are isomorphic to the function field of an
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