1995/04/17 by S. Krivonos, A. S. Sorin, A. Sorin · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Hamiltonian (control theory) #Hierarchy #Korteweg–de Vries equation #Mathematical physics #Mathematics #NLS #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Nuclear localization sequence #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Superfield #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00755-a
published as Phys.Lett. B357 (1995) 94-98 · LaTeX, 7 pages
arxiv created 1995/04/17 · openalex publication_date 1995/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the well known N=1 NLS equation possesses N=2 supersymmetry and thus it is actually the N=2 NLS equation. This supersymmetry is hidden in terms of the commonly used N=1 superfields but it becomes manifest after passing to the N=2 ones. In terms of the new defined variables the second Hamiltonian structure of the supersymmetric NLS equation coincides with the N=2 superconformal algebra and the N=2 NLS equation belongs to the N=2 a=4 KdV hierarchy. We propose the KP-like Lax operator in terms of the N=2 superfields which reproduces all the conserved currents for the corresponding hierarchy.