Timeline for KPZ-NLS-Burgers relationship
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2017 at 17:41 | history | bounty ended | Amir Sagiv | ||
| Oct 5, 2017 at 17:41 | vote | accept | Amir Sagiv | ||
| Oct 2, 2017 at 12:26 | comment | added | Carlo Beenakker | yes, thanks, the equals sign was missing, I have corrected it; the Burgers/KPZ equations indeed map onto the linear heat equation (or Schrödinger equation in imaginary time), that's the whole point of this Hopf-Cole transformation: you transform a nonlinear equation into a linear one, which allows for an explicit solution. | |
| Oct 2, 2017 at 12:24 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
edited body
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| Oct 2, 2017 at 12:13 | comment | added | Amir Sagiv | Plus, I think there should be a $=\nu \ldots$ instead of $+\nu \ldots$, but I'm not sure | |
| Oct 2, 2017 at 12:08 | comment | added | Amir Sagiv | Thanks! The heat equation with $t=i\tau$ is the linear Schrodinger with a potential, right? There's no way to get the Burgers equation as a limit/approximation of the nonlinear Schrodinger? | |
| Oct 2, 2017 at 11:58 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
added 30 characters in body
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| Oct 2, 2017 at 10:46 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |