Home
File Metadata
solv-int_9812025.txt
Annotation: dorsal/arxiv

dorsal/arxiv

Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 0 | Source: arXiv Dataset IDs (Model)

The Cole-Hopf and Miura transformations revisited

Authors	Fritz Gesztesy, Helge Holden
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9812025
URL	https://arxiv.org/abs/solv-int/9812025

Abstract

An elementary yet remarkable similarity between the Cole-Hopf transformation relating the Burgers and heat equation and Miura's transformation connecting the KdV and mKdV equations is studied in detail.

{
  "annotation_id": "4f9c34d8-675a-4745-807c-b93c62f7f448",
  "date_created": "2026-03-02T18:02:51.392000Z",
  "date_modified": "2026-03-02T18:02:51.392000Z",
  "file_hash": "4c8e10c199f007be23ec1ad66edee15a8d6d8131a47e330eef4ccc05c061b6f1",
  "private": false,
  "record": {
    "abstract": "An elementary yet remarkable similarity between the Cole-Hopf transformation\nrelating the Burgers and heat equation and Miura\u0027s transformation connecting\nthe KdV and mKdV equations is studied in detail.",
    "arxiv_id": "solv-int/9812025",
    "authors": [
      "Fritz Gesztesy",
      "Helge Holden"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "The Cole-Hopf and Miura transformations revisited",
    "url": "https://arxiv.org/abs/solv-int/9812025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e64e6d7f-6a1d-423e-8fc0-d0349f815aba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}