A New Negative Discrete Hierarchy and Its N-Fold Darboux Transformation

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（12）
• 页码范围: 687-692
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/0253-6102/68/6/687

摘要

Starting from a matrix discrete spectral problem,we derive a negative discrete hierarchy.It is shown that the hierarchy is integrable in the Liouville sense and possesses a bi-Hamiltonian structure.Furthermore,its N-fold Darboux transformation is established with the help of gauge transformation of Lax pair.As an application of the Darboux transformation,some new exact solutions for a discrete equation in the negative hierarchy are obtained.