Maohua Li, Jingsong He
Published 2014-04-11Version 1
From the constrained discrete KP (cdKP) hierarchy, the Ablowitz-Ladik lattice has been derived. By means of the gauge transformation, the Wronskian solution of the Ablowitz-Ladik lattice have been given. The $u_1$ of the cdKP hierarchy is a Y-type soliton solution for odd times of the gauge transformation, but it becomes a dark-bright soliton solution for even times of the gauge transformation. The role of the discrete variable $n$ in the profile of the $u_1$ is discussed.
Comments: 19 pages,13 figures
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation
Boson-Fermion correspondence, QQ-relations and Wronskian solutions of the T-system
Gauge transformations of Jacobi structures and contact groupoids
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