TY - JOUR
T1 - Singular solutions of the subcritical nonlinear Schrödinger equation
AU - Fibich, Gadi
N1 - Funding Information:
This research was partially supported by the Israel Science Foundation (ISF grant No. 123/08 ).
PY - 2011/7/15
Y1 - 2011/7/15
N2 - We show that the subcritical d-dimensional nonlinear Schrdinger equation iψt+Δψ+| ψ |2σψ=0, where 1<σd<2, admits smooth solutions that become singular in L p for p**:=σd/σd-1. Since limσd→2- p*=2, these solutions can collapse at any 2
AB - We show that the subcritical d-dimensional nonlinear Schrdinger equation iψt+Δψ+| ψ |2σψ=0, where 1<σd<2, admits smooth solutions that become singular in L p for p**:=σd/σd-1. Since limσd→2- p*=2, these solutions can collapse at any 2
KW - Nonlinear Schrdinger equation
KW - Singularity
KW - Subcritical
UR - http://www.scopus.com/inward/record.url?scp=79958013537&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2011.04.004
DO - 10.1016/j.physd.2011.04.004
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AN - SCOPUS:79958013537
SN - 0167-2789
VL - 240
SP - 1119
EP - 1122
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 13
ER -