Two-dimensional dark soliton in the nonlinear Schrödinger equation

Hidetsugu Sakaguchi; Tomoko Higashiuchi

doi:10.1016/j.physleta.2006.07.039

Two-dimensional dark soliton in the nonlinear Schrödinger equation

Hidetsugu Sakaguchi, Tomoko Higashiuchi

研究成果: ジャーナルへの寄稿 › 記事

28 引用（Scopus）

抜粋

Two-dimensional gray solitons to the nonlinear Schrödinger 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.

元の言語	英語
ページ（範囲）	647-651
ページ数	5
ジャーナル	Physics Letters, Section A: General, Atomic and Solid State Physics
巻	359
発行部数	6
DOI	https://doi.org/10.1016/j.physleta.2006.07.039
出版物ステータス	出版済み - 12 11 2006

フィンガープリント

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

これを引用

Sakaguchi, H., & Higashiuchi, T. (2006). Two-dimensional dark soliton in the nonlinear Schrödinger equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 359(6), 647-651. https://doi.org/10.1016/j.physleta.2006.07.039

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abstract = "Two-dimensional gray solitons to the nonlinear Schr{\"o}dinger 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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N2 - Two-dimensional gray solitons to the nonlinear Schrödinger 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.

AB - Two-dimensional gray solitons to the nonlinear Schrödinger 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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文献にアクセス

10.1016/j.physleta.2006.07.039