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On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy | | S. Yu. Sakovich
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26 Oct 2003 | | Journal: | J. Math. Phys. 45 (2004) 2338-2342 DOI: 10.1063/1.1745128 | | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics; Analysis of PDEs | nlin.SI math-ph math.AP math.MP | | 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. | | Source: | arXiv, nlin.SI/0310039 | | Services: | Forum | Review | PDF | Favorites | |
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