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Flat bidifferential ideals and semihamiltonian PDEs

Paolo Lorenzoni
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Abstract

In this paper we consider a class of semihamiltonian systems characterized by the existence of a special conservation law. The density and the current of this conservation law satisfy a second order system of PDEs which has a natural interpretation in the theory of flat bifferential ideals. The class of systems we consider contains important well-known examples of semihamiltonian systems. Other examples, like genus 1 Whitham modulation equations for KdV, are related to this class by a reciprocal trasformation.

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Paolo Lorenzoni. 2006-11-07. Flat bidifferential ideals and semihamiltonian PDEs. https://doi.org/10.1088/0305-4470%2F39%2F44%2F006

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