Multiple-type solutions for multipole interface solitons in thermal nonlinear media

TL;DR

This paper investigates the existence and characteristics of multipole interface solitons in thermal nonlinear media with a refractive index step, revealing different solution types, stability properties, and new fifth-order solutions.

Contribution

It introduces multiple solution types for multipole interface solitons in thermal nonlinear media and analyzes their profiles, stability, and existence conditions.

Findings

Two types of tripole and quadrupole interface solitons with distinct profiles and stability regions.

Only one type of interface soliton is stable for a given propagation constant.

Discovery of three solution types for fifth-order interface solitons.

Abstract

We address the existence of multipole interface solitons in one-dimensional thermal nonlinear media with a step in the linear refractive index at the sample center. It is found that there exist two types of solutions for tripole and quadrupole interface solitons. The two types of interface solitons have different profiles, beam widths, mass centers, and stability regions. For a given propagation constant, only one type of interface soliton is proved to be stable, while the other type can also survive over a long distance. In addition, three types of solutions for fifth-order interface solitons are found.