On the Nonlocal Equations and Nonlocal Charges Associated with the Harry Dym Hierarchy
arXiv:nlin/0207041 · doi:10.1063/1.1512974
Abstract
A large class of nonlocal equations and nonlocal charges for the Harry Dym hierarchy is exhibited. They are obtained from nonlocal Casimirs associated with its bi-Hamiltonian structure. The Lax representation for some of these equations is also given.
to appear in Journal of Mathematical Physics, 17 pages, Latex
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- Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
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- Deformed Harry Dym and Hunter-Zheng Equations
- Two-Component Coupled KdV Equations and its Connection with the Generalized Harry Dym Equation
- Gauge transformations and symmetries of integrable systems
- Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion