The Cole-Hopf and Miura transformations revisited
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 1998
- DOI:
- 10.48550/arXiv.solv-int/9812025
- arXiv:
- arXiv:solv-int/9812025
- Bibcode:
- 1998solv.int.12025G
- Keywords:
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- Exactly Solvable and Integrable Systems
- E-Print:
- LaTeX, 11 pages