Supersymmetric Harry Dym Type Equations
نویسنده
چکیده
A supersymmetric version is proposed for the well known Harry Dym system. A general class super Lax operator which leads to consistent equations is considered.
منابع مشابه
4 Ja n 20 04 On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy
Two generalized Harry Dym equations, recently found by Brunelli, Das and Popowicz in the bosonic limit of new supersymmetric extensions of the Harry Dym hierarchy [J. Math. Phys. 44:4756–4767 (2003)], are transformed into previously known integrable systems: one—into a pair of decoupled KdV equations, the other one—into a pair of coupled mKdV equations from a bi-Hamiltonian hierarchy of Kupersh...
متن کاملO ct 2 00 3 On two recent generalizations of the Harry Dym equation
Two generalized Harry Dym equations, recently found by Brunelli, Das and Popowicz in the bosonic limit of new supersymmetric extensions of the Harry Dym hierarchy, are transformed into previously known integrable systems: one—into a pair of decoupled KdV equations , the other one—into a pair of coupled mKdV equations from a bi-Hamiltonian hierarchy of Kupershmidt.
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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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