dorsal/arxiv
View SchemaB\"acklund Transformations of MKdV and Painlev\'e Equations
| Authors | Jeremy Schiff |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9305002 |
| URL | https://arxiv.org/abs/solv-int/9305002 |
| DOI | 10.1088/0951-7715/7/1/015 |
Abstract
For $N\ge 3$ there are $S_N$ and $D_N$ actions on the space of solutions of the first nontrivial equation in the $SL(N) MKdV hierarchy, generalizing the two $Z_2$ actions on the space of solutions of the standard MKdV equation. These actions survive scaling reduction, and give rise to transformation groups for certain (systems of) ODEs, including the second, fourth and fifth Painlev\'e equations.
{
"annotation_id": "b21319e4-2a3c-4fbf-aab9-da991904f668",
"date_created": "2026-03-02T18:02:48.238000Z",
"date_modified": "2026-03-02T18:02:48.238000Z",
"file_hash": "19b0d94e90e7ad68c71d5395512e632f53f5f452f0efe74ac0a5333bf0de14bc",
"private": false,
"record": {
"abstract": "For $N\\ge 3$ there are $S_N$ and $D_N$ actions on the space of solutions of\nthe first nontrivial equation in the $SL(N) MKdV hierarchy, generalizing the\ntwo $Z_2$ actions on the space of solutions of the standard MKdV equation.\nThese actions survive scaling reduction, and give rise to transformation groups\nfor certain (systems of) ODEs, including the second, fourth and fifth\nPainlev\\\u0027e equations.",
"arxiv_id": "solv-int/9305002",
"authors": [
"Jeremy Schiff"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0951-7715/7/1/015",
"title": "B\\\"acklund Transformations of MKdV and Painlev\\\u0027e Equations",
"url": "https://arxiv.org/abs/solv-int/9305002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "741b751d-5110-4cb7-b07a-b71be82fc0db",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}