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February 27, 2026Theoretical and Mathematical Physics0 citations

On the construction of integrable symplectic mappings

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XYXiao YangMYMingyue YuDDDianlou Du

Key Points

  • The central aim is to explore a new method for generating integrable symplectic mappings within the framework of the AKNS hierarchy.
  • Derivation of semi-discrete equations from the AKNS spectral problem
  • Establishment of auto-transformations for stationary AKNS equations
  • Analysis of group properties of the generated mappings
  • Successful generation of integrable symplectic mappings from the AKNS hierarchy
  • Characterization of the group properties associated with these mappings

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.

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Cite This Study

Yang et al. (2026) studied this question.

synapsesocial.com/papers/69a134b8ed1d949a99abe43bhttps://doi.org/10.1134/s0040577926020042
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