A phenomenological description of soliton splitting during run up

Embrecht W.C. van Groesen, F. Dias (Editor), J.-M. Ghidaglia (Editor)

    Research output: Contribution to journalArticleAcademicpeer-review

    120 Downloads (Pure)


    In this paper a simple model is proposed to describe the splitting of an initial single solitary wave that runs into shallower water into two solitary waves. Different from results in the literature that llse inverse scattering theory for the Korteweg - de Vries equation to find the splitting once a single (deformed) wave has arrived at a shallower region of constant depth, in this paper a quasi-static approximation is proposed to capture also the changes during run up. The model is completely based on qualitative properties of the energy and mass of single solitary waves as function of amplitude. With these relations, the splitting process can be described qualitatively in complutll agreement with results from numerical calculations.
    Original languageUndefined
    Pages (from-to)211-222
    Number of pages12
    JournalContemporary mathematics
    Issue number200
    Publication statusPublished - 1996
    EventWorkshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves - Luminy, France
    Duration: 15 May 199519 May 1995


    • METIS-140916
    • IR-30276

    Cite this