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.
Keywords:auto-transformation, symplectic mapping, group properties.
Fulltext:
PDF file (494 kB)
First page:
PDF file