Two-dimensional dark soliton in the nonlinear Schroedinger equation

Hidetsugu Sakaguchi; Tomoko Higashiuchi

doi:10.1016/j.physleta.2006.07.039

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Two-dimensional dark soliton in the nonlinear Schroedinger equation

Hidetsugu Sakaguchi·Tomoko Higashiuchi

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Abstract

Two-dimensional gray solitons to the nonlinear Schroedinger equation are numerically created by two processes to show its robustness. One is transverse instability of a one-dimensional gray soliton, and another is a pair annihilation of a vortex and an antivortex. The two-dimensional dark solitons are anisotropic and propagate in a certain direction. The two-dimensional dark soliton is stable against the head-on collision. The effective mass of the two-dimensional dark soliton is evaluated from the motion in a harmonic potential.

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Hidetsugu Sakaguchi, Tomoko Higashiuchi. 2006-07-31. Two-dimensional dark soliton in the nonlinear Schroedinger equation. https://doi.org/10.1016/j.physleta.2006.07.039

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