Abstract
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.
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© 2004 Springer Science+Business Media Dordrecht
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Shabat, A.B., Martínez Alonso, L. (2004). On the Prolongation of a Hierarchy of Hydrodynamic Chains. In: Shabat, A.B., González-López, A., Mañas, M., Martínez Alonso, L., Rodríguez, M.A. (eds) New Trends in Integrability and Partial Solvability. NATO Science Series, vol 132. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1023-8_10
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DOI: https://doi.org/10.1007/978-94-007-1023-8_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1836-7
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