An integrable coupling system of lattice hierarchy and its continuous limits

作者：Yu Fajun^*; Li Li

来源：Physics Letters A, 2009, 373(17): 1540-1545.

DOI：10.1016/j.physleta.2009.02.058

• Lattice hierarchy
• Integrable coupling system
• Continuous limit

In [E.G. Fan, Phys. Lett. A 372 (2008) 6368], Fan present a lattice hierarchy and its continuous limits. In this Letter, we extend this method, by introducing a complex discrete spectral problem, a coupling lattice hierarchy is derived. It is shown that a new sequence of combinations of complex lattice spectral problem converges to the integrable coupling couplings of soliton equation hierarchy, which has the integrable coupling system of AKNS hierarchy as a continuous limit.

• 出版日期2009-4-13
• 单位沈阳师范大学