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?

Add your own answers!

Related Questions

Finding the order of a pole of a complex function

1  Asked on January 7, 2021 by prasiortle


How To Prove This Is Continuous Or Discontinuous

1  Asked on January 7, 2021 by mat-rhine


Inverse of a 3×3 block matrix

1  Asked on January 7, 2021 by dadoo


Ask a Question

Get help from others!

© 2023 All rights reserved. Sites we Love: PCI Database, MenuIva, UKBizDB, Menu Kuliner, Sharing RPP, SolveDir