Perturbation Theory Advances for Dark Solitons in Nonlinear Schrödinger Equation

This research explores integrable perturbation theory, a complex mathematical framework, within the context of the defocusing nonlinear Schrödinger equation and its dark solitons. The findings likely contribute to a deeper understanding of wave phenomena and could have implications in fields like fiber optics and Bose-Einstein condensates.

• •Applies perturbation theory to dark solitons.
• •Focuses on the defocusing nonlinear Schrödinger equation.
• •Potentially relevant to fields involving wave propagation.