Interaction of Nonlinear Schrödinger Solitons with an External Potential

Details Interaction of Nonlinear Schrödinger Solitons with an External Potential Interaction of Nonlinear Schrödinger Solitons with an External Potential

1995-06-30

arxiv.org/abs/chao-dyn/9506011v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, uuencoded PS-file including 10 figures

Scientific paper

10.1088/0305-4470/28/17/027

Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-$d$ nonlinear Schr\"odinger equation numerically for solitons moving in external potentials. In particular, we study the scattering off an interface separating two regions of constant potential. We find that the soliton can break up into two solitons, eventually accompanied by radiation of non-solitary waves. Reflection coefficients and inelasticities are computed as functions of the height of the potential step and of its steepness.

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