Two-dimensional dark soliton in the nonlinear Schroedinger equation
Pattern Formation and Solitons
2009-11-11 v1
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.
Cite
@article{arxiv.nlin/0607072,
title = {Two-dimensional dark soliton in the nonlinear Schroedinger equation},
author = {Hidetsugu Sakaguchi and Tomoko Higashiuchi},
journal= {arXiv preprint arXiv:nlin/0607072},
year = {2009}
}
Comments
7 figures