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arXiv · 1404.3044

The wronskian solution of the constrained discrete KP hierarchy

Maohua Li·Jingsong He
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Abstract

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.

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Maohua Li, Jingsong He. 2014-04-11. The wronskian solution of the constrained discrete KP hierarchy. https://doi.org/10.1016/j.cnsns.2015.10.021

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