A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem

作者：Fan E^*

来源：Physica A: Statistical Mechanics and Its Applications , 2001, 301(1-4): 105-113.

DOI：10.1016/S0378-4371(01)00360-0

• Hierarchy of nonlinear evolution equations
• Hamiltonian structure

Starting from a generalized Kaup-Newell spectral problem involving an arbitrary function, we derive a hierarchy of nonlinear evolution equations, which is explicitly related to many important equations such as Kaup-Newell equation, Chen-Lee-Liu. equation, Gerdjikov-Ivanov equation, Burgers equation, modified Korteweg-de Vries equation and Sharma-Tasso-Olever equation. It is also shown that the hierarchy is integrable in Lionville's sense and possesses multi-Hamiltonian structure.

• 出版日期2001-12-1
• 单位复旦大学