{ "id": "1404.3044", "version": "v1", "published": "2014-04-11T09:21:00.000Z", "updated": "2014-04-11T09:21:00.000Z", "title": "The wronskian solution of the constrained discrete KP hierarchy", "authors": [ "Maohua Li", "Jingsong He" ], "comment": "19 pages,13 figures", "categories": [ "math-ph", "math.MP", "nlin.SI" ], "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.", "revisions": [ { "version": "v1", "updated": "2014-04-11T09:21:00.000Z" } ], "analyses": { "subjects": [ "37K10", "37K40", "35Q51", "35Q55" ], "keywords": [ "constrained discrete kp hierarchy", "wronskian solution", "gauge transformation", "ablowitz-ladik lattice", "y-type soliton solution" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1404.3044L" } } }