THERMAL SCIENCE

International Scientific Journal

Yanni Yang

,

Sheng ZhangORCID

DARBOUX TRANSFORMATION AND NTH ITERATION ANALYTICAL SOLUTIONS OF A NEW NON-LOCAL COUPLED NON-LINEAR SCHRODINGER EQUATIONS

ABSTRACT
In this work, a novel integrable system of non-local coupled Schrodinger equations (NCNLSE) is investigated. Specifically, with the help of related Lax representation and zero curvature condition, the NCNLSE are first derived in terms of the parity-time symmetry reduction method. Then based on Darboux transformation, the first, second, and Nth iteration solutions of the NCNLSE are obtained. This paper shows that the results obtained are different from those of the corresponding known local model of coupled non-linear Schrodinger equations.
KEYWORDS
Nth iteration solution, Darboux transformation, parity-time symmetry reduction, non-local coupled non-linear Schrodinger equations
PAPER SUBMITTED: 2025-01-26
PAPER REVISED: 2025-04-30
PAPER ACCEPTED: 2025-05-21
PUBLISHED ONLINE: 2026-04-12
DOI REFERENCE: https://doi.org/10.2298/TSCI2602825Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2026, VOLUME 30, ISSUE No. 2, PAGES [825 - 835]
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Darboux transformation and Nth iteration analytical solutions of a new non-local coupled non-linear Schrodinger equations

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence