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Stability in integrable nonlocal nonlinear equations

Cen, J., Correa, F., Fring, A. ORCID: 0000-0002-7896-7161 & Taira, T. (2022). Stability in integrable nonlocal nonlinear equations. Physics Letters A, 435, 128060. doi: 10.1016/j.physleta.2022.128060


Recently a variety of nonlocal integrable systems has been introduced that besides fields located at particular space-time points simultaneously also contain fields that are located at different, but symmetrically related, points. Here we investigate different types of soliton solutions with regard to their stability against linear perturbations obtained for the nonlocal version of the Hirota/nonlinear Schrödinger equation and the so-called Alice and Bob versions of the Korteweg-de Vries and Bousinesq equations. We encounter different types of scenarios: Solition solutions that are linearly stable or unstable and also solutions that change their stability properties depending on the parameter regime they are in.

Publication Type: Article
Additional Information: © 2022. This article has been published in Physics Letters A by Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publisher Keywords: Nonlocal Hirota equation, Nonlocal Schrödinger equation, Alice and Bob systems, Stability of soliton solutions, Korteweg de-Vries equation, Boussinesq equation
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
[img] Text - Accepted Version
This document is not freely accessible until 17 March 2023 due to copyright restrictions.
Available under License Creative Commons Attribution Non-commercial No Derivatives.

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