Timeline for Why Does a quadratic phase term in BNLS causes collapse?
Current License: CC BY-SA 3.0
7 events
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| Nov 11, 2014 at 0:20 | comment | added | Nick P | the other thing to look for then would be the pseudo conformal invariance of the associated action, corresponding to the so called lens transformation. i don't know much about the BNLS, but some googling yielded this paper which might be of assistance: math.tau.ac.il/~fibich/Manuscripts/BNLS_SIAP10.pdf | |
| Nov 10, 2014 at 11:40 | comment | added | Amir Sagiv | I took a look at it. In the 1 dimensional case, it might change the hamiltonian sign and thus admit a singular solution. Obviously, there is no proof of singularity for BNLS, but the direction of Hamiltonian sign doesn't look promising either, since BNLS Hamiltonian is always non-positive. @NickP | |
| Sep 27, 2014 at 18:06 | comment | added | Nick P | Sulem, C., & Sulem, P. L. (Eds.). (1999). The nonlinear Schrödinger equation: self-focusing and wave collapse (Vol. 139). Springer. | |
| Sep 27, 2014 at 8:25 | comment | added | Amir Sagiv | What's the name of the Sulem and Sulem book? I'll look into it | |
| Sep 27, 2014 at 8:24 | history | edited | Amir Sagiv | CC BY-SA 3.0 |
H2 instead of H1
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| Sep 11, 2014 at 8:00 | comment | added | Nick P | What about the normal conditions (generally on the sign of the Hamiltonian, plus some constraints on the IC) that one has for the NLSE? This might give some insight. See Ch. 5 of Sulem and Sulem for details. | |
| Jun 7, 2014 at 20:07 | history | asked | Amir Sagiv | CC BY-SA 3.0 |