Weinstein, Michael I. The nonlinear Schrödinger equation - singularity formation, stability and dispersion. (English) Zbl 0703.35159 The connection between infinite dimensional and finite dimensional dynamical systems, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Boulder/CO 1987, Contemp. Math. 99, 213-232 (1989). [For the entire collection see Zbl 0681.00010.] Nonlinear Schrödinger equation is analysed with reference to nonlinear bound states. Stability, participation in the formation of singularities and criterion for dispersion of solutions are considered. Reviewer: S.K.Rangarajan Cited in 10 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 35B35 Stability in context of PDEs Keywords:Nonlinear Schrödinger equation; Stability; singularities; dispersion Citations:Zbl 0681.00010 PDFBibTeX XML