An integrable lattice equation related to the nKN system

作者：Yang, Xiao^*; Wang, Junmin

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2010, 374(19-20): 1922-1926.

DOI：10.1016/j.physleta.2010.02.080

• Lattice equation
• Lax pair
• Integrable symplectic map
• Algebro-geometric solution

The Lax pair of a lattice equation is given by a discrete spectral problem and the negative Kaup-Newell spectral problem. Based on the Lax nonlinearization technique, they are transformed into a symplectic map and a Hamiltonian system, which are integrable in the Liouville sense and are straightened out in the Jacobi coordinates. An algebraic-geometric solution of the lattice equation is obtained by the Riemann-Jacobi inversion. Explicit solutions of the associated lattice hierarchy are given.

• 出版日期2010-4-19
• 单位郑州大学; 河南财经政法大学