A hierarchy of differential-difference equations, conservation laws and new integrable coupling system

作者：Ding, Hai-Yong; Sun, Ye-Peng^*; Xue, Feng-Chang

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(8): 2037-2043.

DOI：10.1016/j.cnsns.2009.08.022

• Differential-difference equation
• Conservation law
• Integrable coupling system

Starting from a discrete spectral problem with two arbitrary parameters, a hierarchy of nonlinear differential-difference equations is derived. The new hierarchy not only includes the original hierarchy, but also the well-known Toda equation and relativistic Toda equation. Moreover, infinitely many conservation laws for a representative discrete equation are given. Further, a new integrable coupling system of the resulting hierarchy is constructed.

• 出版日期2010-8
• 单位山东财经大学; 南京信息工程大学