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]
Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 193183561
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  Data: DARBOUX TRANSFORMATION AND N<superscript>th</superscript> ITERATION ANALYTICAL SOLUTIONS OF A NEW NON-LOCAL COUPLED NON-LINEAR SCHRODINGER EQUATIONS.
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  Data: <searchLink fieldCode="AR" term="%22YANG%2C+Yanni%22">YANG, Yanni</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22ZHANG%2C+Sheng%22">ZHANG, Sheng</searchLink><relatesTo>1</relatesTo><i> szhangchina@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Thermal+Science%22">Thermal Science</searchLink>. 2026, Vol. 30 Issue 2A, p825-835. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Darboux+transformations%22">Darboux transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Integrable+systems%22">Integrable systems</searchLink><br /><searchLink fieldCode="DE" term="%22Lax+pair%22">Lax pair</searchLink><br /><searchLink fieldCode="DE" term="%22T-symmetry%22">T-symmetry</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.2298/TSCI2602825Y
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      – Code: eng
        Text: English
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        PageCount: 11
        StartPage: 825
    Subjects:
      – SubjectFull: Darboux transformations
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Integrable systems
        Type: general
      – SubjectFull: Lax pair
        Type: general
      – SubjectFull: T-symmetry
        Type: general
    Titles:
      – TitleFull: DARBOUX TRANSFORMATION AND Nth ITERATION ANALYTICAL SOLUTIONS OF A NEW NON-LOCAL COUPLED NON-LINEAR SCHRODINGER EQUATIONS.
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            NameFull: YANG, Yanni
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            NameFull: ZHANG, Sheng
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            – D: 01
              M: 02
              Text: 2026
              Type: published
              Y: 2026
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              Value: 30
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              Value: 2A
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            – TitleFull: Thermal Science
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