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<p>This paper presents the first negative-order matrix AKNS flow, derived by associating a Lax pair containing a first-order pole in the spectral parameter with the matrix AKNS spectral problem. The corresponding Darboux transformation is constructed within the AKNS framework. Starting from a seed solution, a class of exact and explicit solutions to the nonlinear negative-order model is generated via a single application of the derived Darboux transformation.</p>

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The First Negative-order Matrix AKNS Flow and its Darboux Transformation

  • 期刊论文

  • 发表日期：

    2025年9月3日

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  • Wen-Xiu Ma

摘要

This paper presents the first negative-order matrix AKNS flow, derived by associating a Lax pair containing a first-order pole in the spectral parameter with the matrix AKNS spectral problem. The corresponding Darboux transformation is constructed within the AKNS framework. Starting from a seed solution, a class of exact and explicit solutions to the nonlinear negative-order model is generated via a single application of the derived Darboux transformation.