{ "abstracts": [ { "content": "We present an unifying description of the graded $SL(p,q)$ KP-KdV\nhierarchies, including the Wronskian construction of their tau-functions as\nwell as the coefficients of the pertinent Lax operators, obtained via\nsuccessive applications of special Darboux-B\\\"{a}cklund transformations. The\nemerging Darboux-B\\\"{a}cklund structure is identified as a constrained\ngeneralized Toda lattice system relevant for the two-matrix string model. Also,\nthe exact Wronskian solution for the two-matrix model partition function is\nfound.", "lang": "en", "mimetype": "application/x-latex", "sha1": "ad522144528d651d3b68a90de2b7c2678e79f7f7" }, { "content": "We present an unifying description of the graded SL(p,q) KP-KdV\nhierarchies, including the Wronskian construction of their tau-functions as\nwell as the coefficients of the pertinent Lax operators, obtained via\nsuccessive applications of special Darboux-Bäcklund transformations. The\nemerging Darboux-Bäcklund structure is identified as a constrained\ngeneralized Toda lattice system relevant for the two-matrix string model. Also,\nthe exact Wronskian solution for the two-matrix model partition function is\nfound.", "lang": "en", "mimetype": "text/plain", "sha1": "d9022380d1bc4c34a1f4fdc5c846bf14cedc2f9a" } ], "contribs": [ { "index": 0, "raw_name": "H. Aratyn", "role": "author" }, { "index": 1, "raw_name": "E. Nissimov", "role": "author" }, { "index": 2, "raw_name": "S. Pacheva", "role": "author" } ], "ext_ids": { "arxiv": "hep-th/9501018v1" }, "extra": { "arxiv": { "base_id": "hep-th/9501018", "categories": [ "hep-th" ], "comments": "LaTeX, 13 pgs, minor typos corrected (incl. in eq. (90))", "journal_ref": "Phys.Lett. A201 (1995) 293-305", "report-no": "BGU-94/25/December - PH, UICHEP-TH/94-12" }, "superceded": true }, "ident": "6ysfa7ncx5fldmvmwvjgpf2i6e", "language": "en", "refs": [], "release_date": "1995-01-06", "release_stage": "submitted", "release_type": "article", "release_year": 1995, "revision": "978050cb-b10f-4f70-93e6-2bb35b46d886", "state": "active", "title": "Darboux-Backlund Solutions of SL(p,q) KP-KdV Hierarchies, Constrained\n Generalized Toda Lattices, and Two-Matrix String Model", "version": "v1", "work_id": "5w6i6nwqjrcvdorwbf6zlsuavi" }