Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials

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  • Sakaguchi Hidetsugu
    Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University
  • Tamura Mitsuaki
    Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University

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  • Scattering and Trapping of Nonlinear Schrodinger Solitons in External Potentials
  • Scattering and Trapping of Nonlinear Schrödinger Solitons in External Potentials

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Abstract

Soliton motion in some external potentials is studied using the nonlinear Schrödinger equation. Solitons are scattered by a potential wall. Solitons propagate almost freely or are trapped in a periodic potential. The critical kinetic energy for reflection and trapping is evaluated approximately with a variational method.

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