{
  "annotation_id": "fce4e92b-643c-4c21-92e6-bde40ea08959",
  "date_created": "2026-03-02T18:02:50.899000Z",
  "date_modified": "2026-03-02T18:02:50.899000Z",
  "file_hash": "28a2fd7350fbbdd81e740ed98c6c811366fdbf1535b931828ea75e535b858fb0",
  "private": false,
  "record": {
    "abstract": "We study, systematically, the properties of the supersymmetric AKNS (sAKNS)\nhierarchy. In particular, we discuss the Lax representation in terms of a\nbosonic Lax operator and some special features of the equations and construct\nthe bosonic local charges as well as the fermionic nonlocal charges associated\nwith the system starting from the Lax operator. We obtain the Hamiltonian\nstructures of the system and check the Jacobi identity through the method of\nprolongation. We also show that this hierarchy of equations can equivalently be\ndescribed in terms of a fermionic Lax operator. We obtain the zero curvature\nformulation as well as the conserved charges of the system starting from this\nfermionic Lax operator which suggests a connection between the two. Finally,\nstarting from the fermionic description of the system, we construct the soliton\nsolutions for this system of equations through Darboux-Backlund transformations\nand describe some open problems.",
    "arxiv_id": "solv-int/9710026",
    "authors": [
      "Henrik Aratyn",
      "Ashok Das"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1142/S0217732398001261",
    "title": "The sAKNS Hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9710026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a77231e-e442-4b58-a351-cc550bb7b238",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}