Bi-Hamiltonian aspects of a matrix Harry Dym hierarchy

Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni, Jorge P. Zubelli

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We study the Harry Dym hierarchy of nonlinear evolution equations from the bi-Hamiltonian view point. This is done by using the concept of an S -hierarchy. It allows us to define a matrix Harry Dym hierarchy of commuting Hamiltonian flows in two fields that projects onto the scalar Harry Dym hierarchy. We also show that the conserved densities of the matrix Harry Dym equation can be found by means of a Riccati-type equation.

Original languageBritish English
Article number092901
JournalJournal of Mathematical Physics
Volume49
Issue number9
DOIs
StatePublished - 2008

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