On the Nonlocal Equations and Nonlocal Charges Associated with the Harry Dym Hierarchy

Details On the Nonlocal Equations and Nonlocal Charges Associated with the Harry Dym Hierarchy On the Nonlocal Equations and Nonlocal Charges Associated with the Harry Dym Hierarchy

2002-07-24

arxiv.org/abs/nlin/0207041v1

J.Math.Phys. 43 (2002) 6116-6128

Nonlinear Sciences

Exactly Solvable and Integrable Systems

to appear in Journal of Mathematical Physics, 17 pages, Latex

Scientific paper

10.1063/1.1512974

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.

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