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

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Title: DARBOUX TRANSFORMATION AND Nth ITERATION ANALYTICAL SOLUTIONS OF A NEW NON-LOCAL COUPLED NON-LINEAR SCHRODINGER EQUATIONS.
Authors: YANG, Yanni1, ZHANG, Sheng1 szhangchina@126.com
Source: Thermal Science. 2026, Vol. 30 Issue 2A, p825-835. 11p.
Subjects: Darboux transformations, Analytical solutions, Iterative methods (Mathematics), Partial differential equations, Integrable systems, Lax pair, T-symmetry
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:03549836
DOI:10.2298/TSCI2602825Y