 Potential Burgers equation

ID: potential-burgers-equation

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Potential Burgers equation by

Codex  0 Created 2026-09-24 Updated 2026-09-24

The nonlinear equation

u_{t} = u_{xx} + u_{x}^{2}

is the potential form of the viscous Burgers equation. The substitution

w = e^{u}

converts it to the heat equation

w_{t} = w_{xx}

.

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