Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials

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.

arXiv comment9 pages, 7 figures

References in corpus (3)

• Formation of a Matter-Wave Bright Soliton
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability

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