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arXiv · 1009.3327

Reflection and Splitting of Channel-Guided Solitons in Two-dimensional Nonlinear Schrödinger Equation

Hidetsugu Sakaguchi·Yusuke Kageyama
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Abstract

Solitons confined in a channel are studied in the two-dimensional nonlinear Schroedinger equation. When a channel branches into two channels, a soliton is split into two solitons, if the initial kinetic energy exceeds a critical value. The branching point works as a pulse splitter. If it is below the critical value, the soliton is reflected. The critical kinetic energy for splitting is evaluated by a variational method. The variational method can be applied in the design of channel systems with reduced reflection.

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Hidetsugu Sakaguchi, Yusuke Kageyama. 2010-09-17. Reflection and Splitting of Channel-Guided Solitons in Two-dimensional Nonlinear Schrödinger Equation. https://arxiv.org/abs/1009.3327

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