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Abstract <p> A stationary AKNS hierarchy is investigated through a new method for constructing integrable symplectic mappings. To achieve this, semi-discrete equations are derived from the AKNS spectral problem. Based on these equations, auto-transformations of the stationary AKNS equations are established. These auto-transformations are then used to generate integrable symplectic mappings. Additionally, group properties of these mappings are analyzed and presented. </p>

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On the construction of integrable symplectic mappings

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Xiao Yang,
  • Mingyue Yu,
  • Dianlou Du

摘要

Abstract

A stationary AKNS hierarchy is investigated through a new method for constructing integrable symplectic mappings. To achieve this, semi-discrete equations are derived from the AKNS spectral problem. Based on these equations, auto-transformations of the stationary AKNS equations are established. These auto-transformations are then used to generate integrable symplectic mappings. Additionally, group properties of these mappings are analyzed and presented.