English

Contour dynamics of two-dimensional dark solitons

Pattern Formation and Solitons 2022-04-20 v1

Abstract

Equations for contour dynamics of dark solitons are obtained for the general form of the nonlinearity function. Their self-similar solution which describes the nonlinear stage of the bending instability of dark solitons is studied in detail.

Keywords

Cite

@article{arxiv.2201.06218,
  title  = {Contour dynamics of two-dimensional dark solitons},
  author = {A. M. Kamchatnov},
  journal= {arXiv preprint arXiv:2201.06218},
  year   = {2022}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-24T08:51:56.131Z