Topological defect trains excited by a boundary discontinuity in the two-dimensional complex Ginzburg-Landau equation

With numerical simulations of the complex Ginzburg-Landau equation in a two-dimensional space, we find that a stationary but non-zero Dirichlet boundary condition with a discontinuity can drive a periodic train of evenly spaced topological defects that drift along and in proximity to the boundary.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.40103
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
preprint
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preprint

Topological defect trains excited by a boundary discontinuity in the two-dimensional complex Ginzburg-Landau equation

Alice C. Quillen, Laura Quinonez
arXiv (Cornell University)
Nonlinear Dynamics and Pattern Formation
preprint

Topological defect trains excited by a boundary discontinuity in the two-dimensional complex Ginzburg-Landau equation

Alice C. Quillen, Laura Quinonez
preprint en

Abstract

With numerical simulations of the complex Ginzburg-Landau equation in a two-dimensional space, we find that a stationary but non-zero Dirichlet boundary condition with a discontinuity can drive a periodic train of evenly spaced topological defects that drift along and in proximity to the boundary.

arXiv (Cornell University)
Nonlinear Dynamics and Pattern Formation
DOIOpen Access PDFOpenAlex
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Topological defect trains excited by a boundary discontinuity in the two-dimensional complex Ginzburg-Landau equation — Alice C. Quillen, Laura Quinonez · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS