{ "id": "1401.6844", "version": "v1", "published": "2014-01-27T13:26:55.000Z", "updated": "2014-01-27T13:26:55.000Z", "title": "Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator $\\boldsymbol D_x$", "authors": [ "A. G. Meshkov", "V. V. Sokolov" ], "comment": "8 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "All non-equivalent integrable evolution equations of third order of the form $u_t=D_x\\frac{\\delta H}{\\delta u}$ are found.", "revisions": [ { "version": "v1", "updated": "2014-01-27T13:26:55.000Z" } ], "analyses": { "subjects": [ "35Q53", "35Q58" ], "keywords": [ "integrable evolution hamiltonian equations", "third order", "hamiltonian operator", "non-equivalent integrable evolution equations" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.geomphys.2014.05.001", "journal": "Journal of Geometry and Physics", "year": 2014, "month": "Nov", "volume": 85, "pages": 245 }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014JGP....85..245M" } } }