Timeline for Proving a system is nonintegrable /not solvable with Inverse Scattering Transform
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 30, 2017 at 15:30 | history | bounty ended | Matt Rosenzweig | ||
| Jun 27, 2017 at 9:31 | history | edited | Phil Harmsworth | CC BY-SA 3.0 |
Added a remark about integrable PDEs in 2 spatial dimensions.
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| Jun 27, 2017 at 9:20 | comment | added | Phil Harmsworth | @AmirSagiv Yes, that's right. Not to be confused with Cartan-Kuranishi prolongation. | |
| Jun 26, 2017 at 15:17 | comment | added | Amir Sagiv | Whalquist-Estanbrook method is the prolongation method? | |
| Jun 26, 2017 at 8:11 | comment | added | Phil Harmsworth | @AmirSagiv B.K. Harrison "On Methods of Finding Bäcklund Transformations in Systems with More than Two Independent Variables" Nonlinear Mathematical Physics 1995, V.2, N 3–4, 201–215 discusses extensions of the Wahlquist-Estabrook method to equations with more than one spatial dimension. | |
| Jun 25, 2017 at 8:56 | comment | added | Amir Sagiv | Thank you, that's a lot to work with. I haven't read them all, but while Karpman's paper should be relevant for the perturbed 1D NLS, I don't think it can work for the 2D NLS, as it is not a perturbation of any integrable system. | |
| Jun 24, 2017 at 7:04 | history | answered | Phil Harmsworth | CC BY-SA 3.0 |