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The wronskian solution of the constrained discrete KP hierarchy

Mathematical Physics 2019-02-15 v1 math.MP Exactly Solvable and Integrable Systems

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 u1u_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 nn in the profile of the u1u_1 is discussed.

Keywords

Cite

@article{arxiv.1404.3044,
  title  = {The wronskian solution of the constrained discrete KP hierarchy},
  author = {Maohua Li and Jingsong He},
  journal= {arXiv preprint arXiv:1404.3044},
  year   = {2019}
}

Comments

19 pages,13 figures