Reflection of channel-guided solitons at corners and junctions in two-dimensional nonlinear Schrödinger equation

Yusuke Kageyama, Hidetsugu Sakaguchi

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.

    Original languageEnglish
    Article number033001
    Journaljournal of the physical society of japan
    Volume81
    Issue number3
    DOIs
    Publication statusPublished - Mar 1 2012

    Fingerprint

    nonlinear equations
    solitary waves
    oscillations
    phase shift
    curves
    scattering

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    @article{e260f11ee17c4cdc8fd423d6ec5e5b68,
    title = "Reflection of channel-guided solitons at corners and junctions in two-dimensional nonlinear Schr{\"o}dinger equation",
    abstract = "Solitons confined in channels are studied in the two-dimensional nonlinear Schr{\"o}dinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.",
    author = "Yusuke Kageyama and Hidetsugu Sakaguchi",
    year = "2012",
    month = "3",
    day = "1",
    doi = "10.1143/JPSJ.81.033001",
    language = "English",
    volume = "81",
    journal = "Journal of the Physical Society of Japan",
    issn = "0031-9015",
    publisher = "Physical Society of Japan",
    number = "3",

    }

    TY - JOUR

    T1 - Reflection of channel-guided solitons at corners and junctions in two-dimensional nonlinear Schrödinger equation

    AU - Kageyama, Yusuke

    AU - Sakaguchi, Hidetsugu

    PY - 2012/3/1

    Y1 - 2012/3/1

    N2 - Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.

    AB - Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.

    UR - http://www.scopus.com/inward/record.url?scp=84858010943&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84858010943&partnerID=8YFLogxK

    U2 - 10.1143/JPSJ.81.033001

    DO - 10.1143/JPSJ.81.033001

    M3 - Article

    AN - SCOPUS:84858010943

    VL - 81

    JO - Journal of the Physical Society of Japan

    JF - Journal of the Physical Society of Japan

    SN - 0031-9015

    IS - 3

    M1 - 033001

    ER -