Stability of Multipole-mode Solitons in Thermal Nonlinear Media

TL;DR

This paper investigates how the geometry of thermal nonlinear media affects the stability of multipole-mode solitons, revealing conditions for their stability and comparing their maximal peak number with other nonlocal media.

Contribution

It demonstrates that sample geometry determines the stability domain of multipole solitons and establishes that the maximum number of peaks in stable solitons matches that in finite-range nonlocal materials.

Findings

Tripole and quadrupole solitons can be fully stable above a critical width.

Sample geometry critically influences soliton stability.

Maximum stable peaks are consistent with finite-range nonlocal media.

Abstract

We study the stability of multipole-mode solitons in one-dimensional thermal nonlinear media. We show how the sample geometry impacts the stability of mutlipole-mode solitons and reveal that the tripole and quadrupole can be made stable in their whole domain of existence, provided that the sample width exceeds a critical value. In spite of such geometry-dependent soliton stability, we find that the maximal number of peaks in stable multipole-mode solitons in thermal media is the same as that in nonlinear materials with finite-range nonlocality.