TITLE:
A Gauge Transformation between Ragnisco-Tu Hierarchy and a Related Lattice Hierarchy
AUTHORS:
Yuqing Liu, Chao Hu, Juan Dai
KEYWORDS:
Ragnisco-Tu Hierarchy, Gauge Transformation, Transfer Operator, Darboux Transformation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.10,
October
28,
2015
ABSTRACT: A new lattice hierarchy related to Ragnisco-Tu equation is proposed and its gauge equivalence to Ragnisco-Tu equation is proven. As an application of gauge transformation, we construct Darboux transformation (DT) of this new equation through DT of Ragnisco-Tu equation. An explicit exact solution is presented as an example.