Contour dynamics of two-dimensional dark solitons.

Kamchatnov, A M · Phys Rev E · 2022

basic_science · Level V

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Abstract

Equations for contour dynamics of trough-shaped 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.