Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy The nonlinear Schrödinger equation with a random potential: results and puzzles. (English) Zbl 1236.35166 Nonlinearity 25, No. 4, R53-R72 (2012). MSC: 35Q55 35R60 35-02 PDFBibTeX XMLCite \textit{S. Fishman} et al., Nonlinearity 25, No. 4, R53--R72 (2012; Zbl 1236.35166) Full Text: DOI arXiv
Rivkind, Alexander; Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model. (English) Zbl 1221.82059 J. Phys. A, Math. Theor. 44, No. 30, Article ID 305206, 18 p. (2011). MSC: 82B44 81Q10 82B20 PDFBibTeX XMLCite \textit{A. Rivkind} et al., J. Phys. A, Math. Theor. 44, No. 30, Article ID 305206, 18 p. (2011; Zbl 1221.82059) Full Text: DOI arXiv
Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy A numerical and symbolical approximation of the nonlinear Anderson model. (English) Zbl 1375.35495 New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010). MSC: 35Q55 81Q15 PDFBibTeX XMLCite \textit{Y. Krivolapov} et al., New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010; Zbl 1375.35495) Full Text: DOI arXiv
Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy Perturbation theory for the nonlinear Schrödinger equation with a random potential. (English) Zbl 1204.37074 Nonlinearity 22, No. 12, 2861-2887 (2009). Reviewer: M. Marin (Brasov) MSC: 37K40 35Q55 35F20 35Q41 35J10 37K10 PDFBibTeX XMLCite \textit{S. Fishman} et al., Nonlinearity 22, No. 12, 2861--2887 (2009; Zbl 1204.37074) Full Text: DOI arXiv
Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. (English) Zbl 1149.82027 J. Stat. Phys. 131, No. 5, 843-865 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82C44 35Q55 PDFBibTeX XMLCite \textit{S. Fishman} et al., J. Stat. Phys. 131, No. 5, 843--865 (2008; Zbl 1149.82027) Full Text: DOI arXiv