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PreprintCC BY 4.0arXiv

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

  • Alice C. Quillen
  • Laura Quinonez
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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.

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Cite

BibTeXRIS
BibTeX
@misc{quillen2026topological,
  title = {{Topological defect trains excited by a boundary discontinuity in the two-dimensional complex Ginzburg-Landau equation}},
  author = {Alice C. Quillen and Laura Quinonez},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.40103},
  eprint = {2610.40103},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40103},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Topological defect trains excited by a boundary discontinuity in the two-dimensional complex Ginzburg-Landau equation
AU  - Alice C. Quillen
AU  - Laura Quinonez
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.40103
UR  - https://arxiv.org/abs/2610.40103
AB  - 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.
ER  -