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

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

2003-10-26

arxiv.org/abs/nlin/0310039v2

J. Math. Phys. 45 (2004) 2338-2342

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages

Scientific paper

10.1063/1.1745128

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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