# Collisional Dynamics of Solitons in the Coupled PT symmetric Nonlocal nonlinear Schrodinger equations

## TL;DR

This paper explores the dynamics of solitons in a coupled PT-symmetric nonlocal nonlinear Schrödinger equation, revealing novel soliton interactions, state conversions, and energy conservation properties due to nonlocality.

## Contribution

It introduces exact soliton solutions and demonstrates state conversion and energy conservation unique to the nonlocal PT-symmetric model.

## Key findings

- Existence of Bright-Bright, Dark-Dark, and Bright-Dark solitons
- Conversion of bright bound states to dark bound states via parameter tuning
- Energy conservation in each mode despite nonlocal interactions

## Abstract

We investigate the focusing coupled PT-symmetric nonlocal nonlinear Schrodinger equation employing Darboux transformation approach. We find a family of exact solutions including pairs of Bright-Bright, Dark-Dark and Bright-Dark solitons in addition to solitary waves. We show that one can convert bright bound state onto a dark bound state in a two-soliton solution by selectively fine tuning the amplitude dependent parameter. We also show that the energy in each mode remains conserved unlike the celebrated Manakov model. We also characterize the behaviour of the soliton solutions in detail. We emphasize that the above phenomenon occurs due to the nonlocality of the model.