# Nonlocal Fordy - Kulish Equations on Symmetric Spaces

## TL;DR

This paper introduces nonlocal integrable reductions of Fordy-Kulish and Fordy derivative NLS systems on Hermitian symmetric spaces, providing explicit examples on SU(4)/SU(2)×SU(2).

## Contribution

It presents the first nonlocal integrable reductions of these systems on symmetric spaces, expanding the scope of nonlocal integrable equations.

## Key findings

- Nonlocal reductions preserve integrability.
- Explicit examples on SU(4)/SU(2)×SU(2) are constructed.
- New classes of nonlocal nonlinear Schrödinger equations are identified.

## Abstract

We present nonlocal integrable reductions of the Fordy-Kulish system of nonlinear Schrodinger equations and the Fordy system of derivative nonlinear Schrodinger equations on Hermitian symmetric spaces. Examples are given on the symmetric space $\frac{SU(4)}{SU(2) \times SU(2)}$.