Genus-two solutions to the Kadomtsev-Petviashvili equation

E. Cahyono, E. van Groesen, E. Soewono, S. Subarinah

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    Abstract

    In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Petviashvili (KP) equation. We investigate some analytically known solutions: the two-soliton interacting waves and their periodic equivalents. It is shown that the behaviour of the interaction of two-solitons can be classified by a parameter A ≥ 0 (depending on the amplitudes of pure one-solitons and the angles of interactions). In the limiting case when A = 0, it is found that the two-soliton reduces to a three-branch soliton.
    Original languageEnglish
    Title of host publicationDifferential equations
    Subtitle of host publicationTheory, Numerics and Applications
    EditorsE. van Groesen, E. Soewono
    Place of PublicationDordrecht
    PublisherKluwer Academic Publishers
    Pages233-243
    Number of pages11
    ISBN (Electronic)978-94-011-5157-3
    ISBN (Print)978-94-010-6168-1
    DOIs
    Publication statusPublished - 1997
    EventInternational Conference on Differential Equations, ICDE 1996 - Institut TeknoIogi Bandung, Bandung, Indonesia
    Duration: 29 Sep 19962 Oct 1996

    Conference

    ConferenceInternational Conference on Differential Equations, ICDE 1996
    Abbreviated titleICDE
    CountryIndonesia
    CityBandung
    Period29/09/962/10/96

    Keywords

    • METIS-141099
    • IR-30459

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