2003/10/31 by Sergei Sakovich, S. Yu. Sakovich
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP #nlin.SI
paper · pdf · doi:10.1063/1.1745128
published as J. Math. Phys. 45 (2004) 2338-2342 · 7 pages
arxiv created 2004/01/14 · openalex publication_date 2004/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 (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.