{
  "annotation_id": "5ca7aaec-63b4-43e1-abac-961b620102c5",
  "date_created": "2026-03-02T18:01:21.752000Z",
  "date_modified": "2026-03-02T18:01:21.752000Z",
  "file_hash": "0640980ffb352c47fcd975bf31a920e550fb499e442650278a6413d0415ea87c",
  "private": false,
  "record": {
    "abstract": "Group theoretical methods are used to study some properties of the Riccati\nequation, which is the only differential equation admitting a nonlinear\nsuperposition principle. The Wei-Norman method is applied to obtain the\nassociated differential equation in the group $SL(2,R)$. The superposition\nprinciple for first order differential equation systems and Lie-Scheffers\ntheorem are also analysed from this group theoretical perspective. Finally, the\ntheory is applied in the solution of second order differential equations like\ntime-independent Schroedinger equation",
    "arxiv_id": "physics/9802041",
    "authors": [
      "J. F. Carinena",
      "G. Marmo",
      "J. Nasarre"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217751X98001694",
    "journal_ref": "Int.J.Mod.Phys.A13:3601-3627,1998",
    "title": "The nonlinear superposition principle and the Wei-Norman method",
    "url": "https://arxiv.org/abs/physics/9802041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e75b3fb-60be-435f-8be7-408ffb821c55",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}