Well-posedness and existence of bound states for a coupled Schrodinger-gKdV system

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Abstract

We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schrodinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space H-1(R) x H-1(R), generalizing previous results obtained in Tsutsumi (1993) [11], Corcho and Linares (2007) [13] and Dias et al. (submitted for publication) [14] for the nonlinear Schrodinger-KdV system. (C) 2010 Elsevier Ltd. All rights reserved.
Original languageUnknown
Pages (from-to)2686-2698
JournalNonlinear Analysis-Theory Methods & Applications
Volume73
Issue number8
Publication statusPublished - 1 Jan 2010

Keywords

    Cite this

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    title = "Well-posedness and existence of bound states for a coupled Schrodinger-gKdV system",
    abstract = "We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schrodinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space H-1(R) x H-1(R), generalizing previous results obtained in Tsutsumi (1993) [11], Corcho and Linares (2007) [13] and Dias et al. (submitted for publication) [14] for the nonlinear Schrodinger-KdV system. (C) 2010 Elsevier Ltd. All rights reserved.",
    keywords = "equations, korteweg-devries, problem, generalized, scattering, Bound, wave, stability, Cauchy, Schrodinger-gKdV, states, interactions",
    author = "Oliveira, {Filipe Serra de}",
    year = "2010",
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    Well-posedness and existence of bound states for a coupled Schrodinger-gKdV system. / Oliveira, Filipe Serra de.

    In: Nonlinear Analysis-Theory Methods & Applications, Vol. 73, No. 8, 01.01.2010, p. 2686-2698.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Well-posedness and existence of bound states for a coupled Schrodinger-gKdV system

    AU - Oliveira, Filipe Serra de

    PY - 2010/1/1

    Y1 - 2010/1/1

    N2 - We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schrodinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space H-1(R) x H-1(R), generalizing previous results obtained in Tsutsumi (1993) [11], Corcho and Linares (2007) [13] and Dias et al. (submitted for publication) [14] for the nonlinear Schrodinger-KdV system. (C) 2010 Elsevier Ltd. All rights reserved.

    AB - We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schrodinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space H-1(R) x H-1(R), generalizing previous results obtained in Tsutsumi (1993) [11], Corcho and Linares (2007) [13] and Dias et al. (submitted for publication) [14] for the nonlinear Schrodinger-KdV system. (C) 2010 Elsevier Ltd. All rights reserved.

    KW - equations

    KW - korteweg-devries

    KW - problem

    KW - generalized

    KW - scattering

    KW - Bound

    KW - wave

    KW - stability

    KW - Cauchy

    KW - Schrodinger-gKdV

    KW - states

    KW - interactions

    M3 - Article

    VL - 73

    SP - 2686

    EP - 2698

    JO - Nonlinear Analysis-Theory Methods & Applications

    JF - Nonlinear Analysis-Theory Methods & Applications

    SN - 0362-546X

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    ER -