dorsal/arxiv
View SchemaOptical solitons in higher order nonlinear Schrodinger equation
| Authors | Sasanka Ghosh, Sudipta Nandy |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9904019 |
| URL | https://arxiv.org/abs/solv-int/9904019 |
Abstract
We show the complete integrability and the existence of optical solitons of higher order nonlinear Schrodinger equation by inverse scattering method for a wide range of values of coefficients. This is achieved first by invoking a novel connection between the integrability of a nonlinear evolution equation and the dimensions of a family of matrix Lax pairs. It is shown that Lax pairs of different dimensions lead to the same evolution equation only with the coefficients of the terms in different integer ratios. Optical solitons, thus obtained by inverse scattering method, have been found by solving an n dimensional eigenvalue problem.
{
"annotation_id": "2250b64f-f6be-497e-81ea-14cc08018dd5",
"date_created": "2026-03-02T18:02:51.295000Z",
"date_modified": "2026-03-02T18:02:51.295000Z",
"file_hash": "989e599ded5b3bb1149a8536a7836715fcbd7f981663a5ca6ee2800776671054",
"private": false,
"record": {
"abstract": "We show the complete integrability and the existence of optical solitons of\nhigher order nonlinear Schrodinger equation by inverse scattering method for a\nwide range of values of coefficients. This is achieved first by invoking a\nnovel connection between the integrability of a nonlinear evolution equation\nand the dimensions of a family of matrix Lax pairs. It is shown that Lax pairs\nof different dimensions lead to the same evolution equation only with the\ncoefficients of the terms in different integer ratios. Optical solitons, thus\nobtained by inverse scattering method, have been found by solving an n\ndimensional eigenvalue problem.",
"arxiv_id": "solv-int/9904019",
"authors": [
"Sasanka Ghosh",
"Sudipta Nandy"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Optical solitons in higher order nonlinear Schrodinger equation",
"url": "https://arxiv.org/abs/solv-int/9904019"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3c43a7a2-f026-454c-b2e3-092099cc4925",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}