Scattering of solitons and dark solitons by potential walls in the nonlinear schrödinger equation

Hidetsugu Sakaguchi, Mitsuaki Tamura

    Research output: Contribution to journalArticlepeer-review

    14 Citations (Scopus)

    Abstract

    Scattering of solitons and dark solitons by potential walls is studied in the nonlinear Schrödinger equation under various conditions. We investigate the conditions under which solitons are split into two solitons at the potential wall. We find that a soliton can be trapped in an interspace between two potential walls. A dark soliton can also be scattered at the potential wall. Similarly to a bright soliton, a dark soliton can pass through more easily the potential wall, as the width of the dark soliton is larger. A dark soliton can run away spontaneously from an interspace between the two potential walls. We also study the motion of a two-dimensional soliton in a two-dimensional quintic nonlinear Schrödinger equation. We find the coherent tunneling through a potential wall, and the refraction corresponding to Newton's refraction theory.

    Original languageEnglish
    Pages (from-to)292-298
    Number of pages7
    Journaljournal of the physical society of japan
    Volume74
    Issue number1
    DOIs
    Publication statusPublished - Jan 2005

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

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