Flat bidifferential ideals and semihamiltonian PDEs

Details Flat bidifferential ideals and semihamiltonian PDEs Flat bidifferential ideals and semihamiltonian PDEs

2006-04-22

arxiv.org/abs/nlin/0604053v5

J. Phys. A: Math. Gen. 39 (2006) 13701-13715

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages. v5: formula (36) corrected; minor changes

Scientific paper

10.1088/0305-4470/39/44/006

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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