Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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9 pages, 7 figures

Scientific paper

10.1143/JPSJ.73.503

Soliton motion in some external potentials is studied using the nonlinear
Schr\"odinger 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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