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

Hidetsugu Sakaguchi, Mitsuaki Tamura

    研究成果: Contribution to journalArticle査読

    16 被引用数 (Scopus)

    抄録

    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.

    本文言語英語
    ページ(範囲)292-298
    ページ数7
    ジャーナルjournal of the physical society of japan
    74
    1
    DOI
    出版ステータス出版済み - 1 2005

    All Science Journal Classification (ASJC) codes

    • 物理学および天文学(全般)

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