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On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy

S. Yu. Sakovich
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Abstract

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 Kupershmidt.

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S. Yu. Sakovich. 2004-01-14. On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy. https://doi.org/10.1063/1.1745128

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