Blow-up in nonlinear Schroedinger equations. I. A general review

    Research output: Contribution to journalJournal articlepeer-review

    Abstract

    The general properties of a class of nonlinear Schroedinger equations: iut + p:∇∇u + f(|u|2)u = 0 are reviewed. Conditions for existence, uniqueness, and stability of solitary wave solutions are presented, along with conditions for blow-up and global existence for the Cauchy problem.
    Original languageEnglish
    JournalPhysica Scripta
    Volume33
    Issue number6
    Pages (from-to)481-497
    ISSN0031-8949
    Publication statusPublished - 1986

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