Two-dimensional dark soliton in the nonlinear Schrödinger equation

Hidetsugu Sakaguchi, Tomoko Higashiuchi

    Research output: Contribution to journalArticle

    28 Citations (Scopus)

    Abstract

    Two-dimensional gray solitons to the nonlinear Schrödinger equation are numerically created by two processes to show its robustness. One is transverse instability of a one-dimensional gray soliton, and another is a pair annihilation of a vortex and an antivortex. The two-dimensional dark solitons are anisotropic and propagate in a certain direction. The two-dimensional dark soliton is stable against the head-on collision. The effective mass of the two-dimensional dark soliton is evaluated from the motion in a harmonic potential.

    Original languageEnglish
    Pages (from-to)647-651
    Number of pages5
    JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
    Volume359
    Issue number6
    DOIs
    Publication statusPublished - Dec 11 2006

    Fingerprint

    nonlinear equations
    solitary waves
    vortices
    harmonics
    collisions

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Two-dimensional dark soliton in the nonlinear Schrödinger equation. / Sakaguchi, Hidetsugu; Higashiuchi, Tomoko.

    In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 359, No. 6, 11.12.2006, p. 647-651.

    Research output: Contribution to journalArticle

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