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Solitons confined in channels are studied in the two-dimensional nonlinearSchr\"odinger equation. We study the dynamics of two channel-guided solitonsnear the junction where two channels are merged. The two solitons merge intoone soliton, when there is no phase shift. If a phase difference is given tothe two solitons, the Josephson oscillation is induced. The Josephsonoscillation is amplified near the junction. The two solitons are reflected whenthe initial velocity is below a critical value.

Reflection of Channel-Guided Solitons at Junctions in Two-Dimensional Nonlinear Schroedinger Equation