Contour dynamics of two-dimensional dark solitons
arXiv:2201.06218 · doi:10.1103/PhysRevE.105.044204
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.
6 pages, 3 figures