Author(s)

Yuqing Liu^1*, Chao Hu¹, Juan Dai²

¹School of Physics & Mathematics, Changzhou University, Changzhou, China.
²Information and Technique College of Changzhou, Changzhou, China.

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.

Ragnisco-Tu Hierarchy, Gauge Transformation, Transfer Operator, Darboux Transformation

Liu, Y. , Hu, C. and Dai, J. (2015) A Gauge Transformation between Ragnisco-Tu Hierarchy and a Related Lattice Hierarchy. Journal of Applied Mathematics and Physics, 3, 1282-1294. doi: 10.4236/jamp.2015.310157.