# Interwires polar soliton molecules in a biwire system

## TL;DR

This paper studies the stability and dynamics of polar soliton molecules in a biwire system with dipoles oriented perpendicularly and oppositely, revealing how nonlocality and wire separation influence molecule formation and stability.

## Contribution

It introduces a detailed analysis of interwire polar soliton molecules using a nonlocal nonlinear Schrödinger equation, highlighting the roles of nonlocality and wire separation in stabilization.

## Key findings

- Existence of bound states forming soliton molecules
- Nonlocality and interwire separation are key to stability
- Analysis of soliton width and center-of-mass dynamics

## Abstract

We investigate stability the dynamical properties of one-dimensional interwires polar soliton molecules in a biwire setup with dipole moments aligned perpendicularly to the line of motion and in opposite directions in different wires. Numercial results based on a nonlocal nonlinear Schr\"odinger equation reveal the existence of a bound state leading to the formation of a molecule. We show that the degree of the nonlocality and the interwire separation play an important role in stabilizing the molecules. Dynamics of the width and center-of-mass of a solitons is also analyzed in terms of the system parameters.