On the Prolongation of a Hierarchy of Hydrodynamic Chains
The prolongation of a hierarchy of hydrodynamic chains previously studied by the authors is presented and the properties of the differential reductions of the enlarged hierarchy are derived. Several associated nonlinear integrable models are exhibited. In particular, it is found that the Camassa-Holm equation can be described as a second-order differential reduction of one of the new flows included in the hierarchy.
KeywordsBurger Equation Holm Equation Formal Laurent Series Solitonic Hierarchy Hydrodynamic Chain
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