2010/05/31 by Q. P. Liu, Q.P. Liu, Ziemowit Popowicz +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Integrable system #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Supersymmetry #nlin.SI
paper · pdf · doi:10.1016/j.physleta.2010.10.033
published as Physics Letters A 375 (2010) 29-35 · typos corrected and references added. To appear in Phys.LettA
arxiv created 2010/10/19 · openalex publication_date 2010/10/21 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that two different supersymmetric extensions of the Harry Dym equation lead to two different negative hierarchies of the supersymmetric integrable equations. While the first one yields the known even supersymmetric Hunter - Saxton equation, the second one is a new odd supersymmetric Hunter - Saxton equation. It is further proved that these two supersymmetric extensions of the Hunter - Saxton equation are reciprocally transformed to two different supersymmetric extensions of the Liouville equation.