Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials

H. Sakaguchi; M. Tamura

doi:10.1143/jpsj.73.503

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arXiv · nlin/0401027

Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials

H. Sakaguchi·M. Tamura

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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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H. Sakaguchi, M. Tamura. 2004-01-20. Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials. https://doi.org/10.1143/jpsj.73.503

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