Singular solutions of the subcritical nonlinear Schrödinger equation

Physica D: Nonlinear Phenomena

Volumn 240, Issue 13, 2011, Pages 1119-1122

  Fibich, Gadi ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Nonlinear Schrdinger equation; Singularity; Subcritical

Indexed keywords

PHYSICS;

DINGER EQUATION; NONLINEAR SCHRDINGER EQUATIONS; SINGULAR SOLUTIONS; SINGULARITY; SMOOTH SOLUTIONS; SUBCRITICAL;

NONLINEAR EQUATIONS;

EID: 79958013537     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2011.04.004     Document Type: Article

References (7)

1. C. Sulem, and P.L. Sulem The Nonlinear Schrdinger Equation 1999 Springer New York
2. M.I. Weinstein Nonlinear Schrdinger equations and sharp interpolation estimates Comm. Math. Phys. 87 1983 567 576
3. R. Cordero-Soto, R.M. Lopez, E. Suaz, and S.K. Suslov Propagator of a charged particle with a spin uniform magnetic and perpendicular electric fields Lett. Math. Phys. 84 2008 159 178
4. V.E. Zakharov Handbook of Plasma Physics vol. 2 1984 Elsevier New York
5. R. Johnson, and X. Pan On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrdinger equation Proc. Roy. Soc. Edinburgh Sect. A 123 1993 763 782
6. B.J. LeMesurier, G. Papanicolaou, C. Sulem, and P.L. Sulem Focusing and multi-focusing solutions of the nonlinear Schrdinger equation Physica D 31 1988 78 102
7. C.J. Budd, S. Chen, and R.D. Russel New self-similar solutions of the nonlinear Schrdinger equation with moving mesh computations J. Comput. Phys. 152 1999 756 789