Interaction of oblique dark solitons in two-dimensional supersonic nonlinear Schr\"odinger flow

TL;DR

This paper studies the collision behavior of oblique dark solitons in a 2D supersonic nonlinear Schrödinger flow, revealing that their interactions are nearly elastic and similar to 1D soliton collisions.

Contribution

It provides the first numerical analysis of oblique dark soliton collisions in 2D flow, demonstrating their elastic nature and measuring positional shifts.

Findings

Collision is nearly elastic

Soliton shifts are measured

Behavior resembles 1D dark soliton collisions

Abstract

We investigate the collision of two oblique dark solitons in the two dimensional supersonic nonlinear Schr\"odinger flow past two impenetrable obstacles. We numerically show that this collision is very similar to the dark soliton collisions in the one dimensional case. We observe that it is practically elastic and we measure the shifts of the solitons positions after their interaction.