{
  "id": "2402.03418",
  "version": "v1",
  "published": "2024-02-05T18:56:40.000Z",
  "updated": "2024-02-05T18:56:40.000Z",
  "title": "On symmetries and conservation laws of a Gardner equation involving arbitrary functions",
  "authors": [
    "Rafael de la Rosa",
    "María Luz Gandarias",
    "María de los Santos Bruzón"
  ],
  "comment": "19 pages. arXiv admin note: text overlap with arXiv:2402.02601",
  "journal": "Applied Mathematics and Computation, 290:125-134,2016",
  "doi": "10.1016/j.amc.2016.05.050",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require the use of a variational principle. We also construct conservation laws using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-05T18:56:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary functions",
      "nonlinear differential equations",
      "partial differential equations",
      "construct conservation laws",
      "generalized variable-coefficient gardner equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}