Vol. 12 No. 1 (2017) P.71~P.101
DOI: || https://doi.org/10.21915/BIMAS.2017103 |
| ||10.21915/BIMAS.2017103 |
The Hopf-Cole transformation turning the strongly nonlinear Burgers equation into the linear heat equation plays an important role in the development of mathematical sciences. In this article the transformation is viewed from historical perspectives. Some open problems concerning the application of the Hopf-Cole transformation are also raised.
Hopf-Cole transformation, Burgers equation, Historical perspectives.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: Primary 35L65, 76H15, Secondary 35L67, 76H05.
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