# How do I verify this scaling relation?

Mathematics Asked on January 5, 2022

I have a PDE as follows-

$$ifrac{partial u}{partial xi} + frac{1}{2}frac{partial^2u}{partial tau^2} + |u|^2u = 0$$

My book says that if $$u(xi,tau)$$ is a solution of the PDE, then $$epsilon u(epsilon^2xi,epsilontau)$$ is also a solution. Why is this true?

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