Rigidity for the non self-dual Chern--Simons--Schr{\"o}dinger equation at the level of the soliton

TL;DR

This paper establishes a rigidity result for solutions to the non self-dual Chern--Simons--Schr{"o}dinger equation specifically at the soliton level, contributing to the understanding of its solution structure.

Contribution

It provides the first rigidity theorem for the non self-dual Chern--Simons--Schr{"o}dinger equation at the soliton level, advancing the mathematical theory of this equation.

Findings

Rigidity result proven for the soliton solutions

Enhanced understanding of solution uniqueness at the soliton level

Contributes to the mathematical analysis of the non self-dual Chern--Simons--Schr{"o}dinger equation

Abstract

In this paper we prove a rigidity result for a solution to the non self-dual Chern--Simons--Schr{\"o}dinger equation at the level of the soliton.