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


35Q55 NLS equations (nonlinear Schrödinger equations)
35B35 Stability in context of PDEs


Zbl 0681.00010