{
  "annotation_id": "ca4abd2c-e404-48b0-b282-36c3570ff410",
  "date_created": "2026-02-17T05:53:20.397000Z",
  "date_modified": "2026-02-17T05:53:20.397000Z",
  "file_hash": "dee7c721089c5e4ff81f2fae093b19cf7ab097c8ec0ba21b280b70dd3317d8ec",
  "private": false,
  "record": {
    "abstract": "We present here a study of the bright soliton dynamics in an inhomogeneous fibre by means of variable coefficient Fokas-Lenells equation with time varying dispersion, nonlinearity and gain/loss parameter. At first, we propose our system that governs the propagation of ultrashort pulses in an inhomogeneous fibre. Secondly, under a suitable gauge transformation, we transform the system into a simplified form of variable coefficient Fokas-Lenells equation. The Lax integrability and conservation laws are exhibited. We also study the stability of the generalised plane wave against small amplitude perturbations. Thereafter, by using a nonstandard Hirota bilinearization method with the help of a suitable auxiliary function, we obtain the bright one soliton, two soliton and provide a scheme for obtaining N-bright soliton solutions. The elastic collision dynamics of the two solitons is studied using asymptotic analysis. We also investigate the soliton acceleration/retardation under a suitable choice of dispersion and nonlinearity coefficients. Finally, the dramatic effect of the nonlinear tunnelling of the bright one and two-soliton is also studied under some Gaussian dispersion or nonlinearity.",
    "arxiv_id": "2601.09514",
    "authors": [
      "Sagardeep Talukdar",
      "R. Ramakrishnan",
      "Sudipta Nandy",
      "M. Lakshmanan"
    ],
    "categories": [
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Bright soliton interactions in the variable coefficient Fokas-Lenells equation, Conservation laws, Modulation instability and Soliton tunneling",
    "url": "https://arxiv.org/abs/2601.09514",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb8f9a21-ed1c-4e1b-ba67-0e0e4c65b6c8",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}