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The Cole-Hopf and Miura transformations revisited

Fritz Gesztesy·Helge Holden
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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.

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Fritz Gesztesy, Helge Holden. 1998-12-21. The Cole-Hopf and Miura transformations revisited. https://arxiv.org/abs/solv-int/9812025

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