Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics

Embrecht W.C. van Groesen, A. Andonowati

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    4 Citations (Scopus)

    Abstract

    With the aim to find extremal properties of extreme waves, we consider waves of maximal crest (and wave) height in the model of the spatial NLS-dynamics. Using the two motion invariants momentum and Hamiltonian as constraints, we show that so-called cornered solitons provide the maximal crest heights for most pairs of feasible constraint values. At the boundary of the feasible set the well-known smooth solitons are found. We discuss the implications for the solutions of NLS evolving from an initial signal.
    Original languageUndefined
    Pages (from-to)86-91
    Number of pages6
    JournalPhysics letters A
    Volume357
    Issue number500-266/2
    DOIs
    Publication statusPublished - 4 Sep 2006

    Keywords

    • IR-57747
    • Extreme waves Soliton Extremal properties NLS equation
    • METIS-237840
    • Soliton
    • Extreme waves
    • Extremal properties
    • EWI-8862
    • NLS equation

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