Preprint A488/2006
Bi-Hamiltonian Aspects of a Matrix Harry Dym Hierarchy
Jorge Zubelli | Fontanelli, Laura | Lorenzoni, Paolo | Pedroni, Marco
Keywords: Harry Dym. Solitons. Integrable Systems. Inverse Problems. Bihamiltonian systems. Nonlinear evolution equations.
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 $\CS$-hierarchy, which permits us to define a matrix Harry Dym hierarchy. We conclude by showing that the conserved densities of the matrix Harry Dym equation can be found by means of a Riccati-type equation.