Contour dynamics of two-dimensional dark solitons
A. M. Kamchatnov
TL;DR
This paper derives equations for the contour dynamics of two-dimensional dark solitons with general nonlinearities and analyzes their self-similar solutions related to bending instabilities.
Contribution
It introduces a general framework for contour dynamics equations of dark solitons and studies their nonlinear evolution and instability behavior.
Findings
Derived contour dynamics equations for dark solitons with arbitrary nonlinearities.
Identified self-similar solutions describing nonlinear bending instability.
Analyzed the nonlinear stage of dark soliton instability in detail.
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.
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