 Projective Lie symmetry of the potential Burgers equation

ID: projective-lie-symmetry-of-the-potential-burgers-equation

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

V = 4 t^{2} \partial_{t} + 4 t x \partial_{x} - (x^{2} + 2 t) \partial_{u}

generates the local transformations

T = \frac{t}{1 - 4 ϵ t}, X = \frac{x}{1 - 4 ϵ t}, U = u - \frac{ϵ x ^{2}}{1 - 4 ϵ t} + \frac{1}{2} lo g (1 - 4 ϵ t) .

Its second prolongation sends

u_{t} - u_{xx} - u_{x}^{2}

- 8 t

 New to topics? Read the docs here!