Deep Learning Models for Global Coordinate Transformations that Linearize PDEs

7 Nov 2019Craig GinBethany LuschSteven L. BruntonJ. Nathan Kutz

We develop a deep autoencoder architecture that can be used to find a coordinate transformation which turns a nonlinear PDE into a linear PDE. Our architecture is motivated by the linearizing transformations provided by the Cole-Hopf transform for Burgers equation and the inverse scattering transform for completely integrable PDEs... (read more)

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