Genus-two solutions to the Kadomtsev-Petviashvili equation

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

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    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
    Number of pages11
    ISBN (Electronic)978-94-011-5157-3
    ISBN (Print)978-94-010-6168-1
    Publication statusPublished - 1997
    EventInternational Conference on Differential Equations, ICDE 1996 - Institut TeknoIogi Bandung, Bandung, Indonesia
    Duration: 29 Sept 19962 Oct 1996


    ConferenceInternational Conference on Differential Equations, ICDE 1996
    Abbreviated titleICDE


    • METIS-141099
    • IR-30459


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