Classification of kink type solutions to the extended derivative nonlinear Schrödinger equation

J. Wyller, T. Fla, J. Juul Rasmussen

    Research output: Contribution to journalJournal articleResearch

    Abstract

    The Raman Extended Derivative Non Linear Schrodinger (R-EDNLS) equation which models single mode propagation in optical fibers, is shown to possess travelling and stationary kink envelope solutions of monotonic and oscillatory type. These structures have been called optical shocks in analogy with hydrodynamical shocks or optical double layers in analogy with electrostatic double layers in plasma physics. Hydrodynamical equations for the action density and local wave number are derived and shock wave solutions of the Rankine-Hugionot type are constructed. They are consistent with the kink structures when excluding the nongeneric case that the kink envelope approaches zero in a nonmonotonic way.
    Original languageEnglish
    JournalPhysica Scripta. Topical Issues
    Volume57
    Issue number3
    Pages (from-to)427-435
    ISSN0281-1847
    DOIs
    Publication statusPublished - 1998

    Cite this

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    title = "Classification of kink type solutions to the extended derivative nonlinear Schr{\"o}dinger equation",
    abstract = "The Raman Extended Derivative Non Linear Schrodinger (R-EDNLS) equation which models single mode propagation in optical fibers, is shown to possess travelling and stationary kink envelope solutions of monotonic and oscillatory type. These structures have been called optical shocks in analogy with hydrodynamical shocks or optical double layers in analogy with electrostatic double layers in plasma physics. Hydrodynamical equations for the action density and local wave number are derived and shock wave solutions of the Rankine-Hugionot type are constructed. They are consistent with the kink structures when excluding the nongeneric case that the kink envelope approaches zero in a nonmonotonic way.",
    keywords = "Optik og sensorsystemer",
    author = "J. Wyller and T. Fla and {Juul Rasmussen}, J.",
    year = "1998",
    doi = "10.1088/0031-8949/57/3/015",
    language = "English",
    volume = "57",
    pages = "427--435",
    journal = "Physica Scripta. Topical Issues",
    issn = "0281-1847",
    publisher = "IOP Publishing",
    number = "3",

    }

    Classification of kink type solutions to the extended derivative nonlinear Schrödinger equation. / Wyller, J.; Fla, T.; Juul Rasmussen, J.

    In: Physica Scripta. Topical Issues, Vol. 57, No. 3, 1998, p. 427-435.

    Research output: Contribution to journalJournal articleResearch

    TY - JOUR

    T1 - Classification of kink type solutions to the extended derivative nonlinear Schrödinger equation

    AU - Wyller, J.

    AU - Fla, T.

    AU - Juul Rasmussen, J.

    PY - 1998

    Y1 - 1998

    N2 - The Raman Extended Derivative Non Linear Schrodinger (R-EDNLS) equation which models single mode propagation in optical fibers, is shown to possess travelling and stationary kink envelope solutions of monotonic and oscillatory type. These structures have been called optical shocks in analogy with hydrodynamical shocks or optical double layers in analogy with electrostatic double layers in plasma physics. Hydrodynamical equations for the action density and local wave number are derived and shock wave solutions of the Rankine-Hugionot type are constructed. They are consistent with the kink structures when excluding the nongeneric case that the kink envelope approaches zero in a nonmonotonic way.

    AB - The Raman Extended Derivative Non Linear Schrodinger (R-EDNLS) equation which models single mode propagation in optical fibers, is shown to possess travelling and stationary kink envelope solutions of monotonic and oscillatory type. These structures have been called optical shocks in analogy with hydrodynamical shocks or optical double layers in analogy with electrostatic double layers in plasma physics. Hydrodynamical equations for the action density and local wave number are derived and shock wave solutions of the Rankine-Hugionot type are constructed. They are consistent with the kink structures when excluding the nongeneric case that the kink envelope approaches zero in a nonmonotonic way.

    KW - Optik og sensorsystemer

    U2 - 10.1088/0031-8949/57/3/015

    DO - 10.1088/0031-8949/57/3/015

    M3 - Journal article

    VL - 57

    SP - 427

    EP - 435

    JO - Physica Scripta. Topical Issues

    JF - Physica Scripta. Topical Issues

    SN - 0281-1847

    IS - 3

    ER -