In this paper, we consider a class of semi-Hamiltonian 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 bidifferential ideals. The class of systems we consider contains important well-known examples of semi-Hamiltonian systems. Other examples, such as genus 1 Whitham modulation equations for KdV, are related to this class by a reciprocal transformation. © 2006 IOP Publishing Ltd.
Lorenzoni, P. (2006). Flat bidifferential ideals and semi-Hamiltonian PDEs. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 39(44), 13701-13715 [10.1088/0305-4470/39/44/006].
Flat bidifferential ideals and semi-Hamiltonian PDEs
LORENZONI, PAOLO
2006
Abstract
In this paper, we consider a class of semi-Hamiltonian 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 bidifferential ideals. The class of systems we consider contains important well-known examples of semi-Hamiltonian systems. Other examples, such as genus 1 Whitham modulation equations for KdV, are related to this class by a reciprocal transformation. © 2006 IOP Publishing Ltd.
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