{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T15:10:47Z","timestamp":1774883447546,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Theor Math Phys"],"published-print":{"date-parts":[[2000,1]]},"DOI":"10.1007\/bf02551166","type":"journal-article","created":{"date-parts":[[2007,1,5]],"date-time":"2007-01-05T06:56:42Z","timestamp":1167980202000},"page":"17-28","source":"Crossref","is-referenced-by-count":5,"title":["An elementary approach to the polynomial \u03c4-functions of the KP Hierarchy"],"prefix":"10.1007","volume":"122","author":[{"given":"G.","family":"Falqui","sequence":"first","affiliation":[]},{"given":"F.","family":"Magri","sequence":"additional","affiliation":[]},{"given":"M.","family":"Pedroni","sequence":"additional","affiliation":[]},{"given":"J. P.","family":"Zubelli","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02551166_CR1","doi-asserted-by":"crossref","first-page":"2180","DOI":"10.1063\/1.523550","volume":"19","author":"M. J. Ablowitz","year":"1978","unstructured":"M. J. Ablowitz and J. Satsuma,J. Math. Phys.,19, 2180\u20132186 (1978).","journal-title":"J. Math. Phys."},{"key":"BF02551166_CR2","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/cpa.3160300106","volume":"30","author":"H. Airault","year":"1977","unstructured":"H. Airault, H. P. McKean, and J. Moser,Commun. Pure Appl. Math.,30, 95\u2013148 (1977).","journal-title":"Commun. Pure Appl. Math."},{"key":"BF02551166_CR3","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF02721013","volume":"43","author":"F. Calogero","year":"1978","unstructured":"F. Calogero,Nuovo Cimento B,43, 177\u2013241 (1978).","journal-title":"Nuovo Cimento B"},{"key":"BF02551166_CR4","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/BF02728217","volume":"40","author":"D. V. Chudnovsky","year":"1977","unstructured":"D. V. Chudnovsky and G. V. Chudnovsky,Nuovo Cimento B,40, 339\u2013353 (1977).","journal-title":"Nuovo Cimento B"},{"key":"BF02551166_CR5","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/BF01077570","volume":"12","author":"I. M. Krichever","year":"1978","unstructured":"I. M. Krichever,Funct. Anal. Appl.,12, 59\u201361, (1978).","journal-title":"Funct. Anal. Appl."},{"key":"BF02551166_CR6","series-title":"Lect. Appl. Math.","first-page":"61","volume-title":"Nonlinear Wave Motion","author":"M. D. Kruskal","year":"1974","unstructured":"M. D. Kruskal, \u201cThe Korteweg-de Vries equation and related evolution equations,\u201d in:Nonlinear Wave Motion (A. C. Newell, ed.) (Lect. Appl. Math., Vol. 15), Am. Math. Soc., Providence, RI (1974), pp. 61\u201383."},{"key":"BF02551166_CR7","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1007\/BF00401932","volume":"3","author":"V. B. Matveev","year":"1979","unstructured":"V. B. Matveev,Lett. Math. Phys.,3, 503\u2013512 (1979).","journal-title":"Lett. Math. Phys."},{"key":"BF02551166_CR8","doi-asserted-by":"crossref","first-page":"5844","DOI":"10.1063\/1.530713","volume":"35","author":"T. Shiota","year":"1994","unstructured":"T. Shiota,J. Math. Phys.,35, 5844\u20135849 (1994).","journal-title":"J. Math. Phys."},{"key":"BF02551166_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s002220050237","volume":"133","author":"G. Wilson","year":"1998","unstructured":"G. Wilson,Invent. Math.,133, 1\u201341 (1998).","journal-title":"Invent. Math."},{"key":"BF02551166_CR10","first-page":"259","volume-title":"Nonlinear PDEs in Applied Sciences","author":"M. Sato","year":"1982","unstructured":"M. Sato and Y. Sato, \u201cSoliton equations as dynamical systems on infinite-dimensional Grassmann manifold,\u201d in:Nonlinear PDEs in Applied Sciences (US-Japan Seminar, Tokyo) (P. Lax and H. Fujita, eds.), North-Holland, Amsterdam (1982), pp. 259\u2013271."},{"key":"BF02551166_CR11","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1143\/PTPS.94.210","volume":"94","author":"Y. Ohta","year":"1988","unstructured":"Y. Ohta, J. Satsuma, D. Takahashi, and T. Tokihiro,Progr. Theor. Phys. Suppl.,94, 210\u2013241 (1988).","journal-title":"Progr. Theor. Phys. Suppl."},{"key":"BF02551166_CR12","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF00430001","volume":"24","author":"J. P. Zubelli","year":"1992","unstructured":"J. P. Zubelli,Lett. Math. Phys.,24, 41\u201348 (1992).","journal-title":"Lett. Math. Phys."},{"key":"BF02551166_CR13","first-page":"177","volume":"442","author":"G. Wilson","year":"1993","unstructured":"G. Wilson,J. Reine Angew. Math.,442, 177\u2013204 (1993).","journal-title":"J. Reine Angew. Math."},{"key":"BF02551166_CR14","volume-title":"The Bispectral Problem","year":"1998","unstructured":"J. Harnad and A. Kasman, eds.,The Bispectral Problem (Montreal, PQ, 1997), Am. Math. Soc., Providence, RI (1998)."},{"key":"BF02551166_CR15","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/s002200050452","volume":"197","author":"G. Falqui","year":"1998","unstructured":"G. Falqui, F. Magri, and M. Pedroni,Commun. Math. Phys.,197, 303\u2013324 (1998).","journal-title":"Commun. Math. Phys."},{"key":"BF02551166_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0129055X8900002X","volume":"1","author":"K. Takasaki","year":"1989","unstructured":"K. Takasaki,Rev. Math. Phys.,1, 1\u201346 (1989).","journal-title":"Rev. Math. Phys."},{"key":"BF02551166_CR17","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/BF01681431","volume":"12","author":"I. V. Cherednik","year":"1979","unstructured":"I. V. Cherednik,Funct. Anal. Appl.,12, 195\u2013203 (1979).","journal-title":"Funct. Anal. Appl."},{"key":"BF02551166_CR18","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1093\/qmath\/32.4.491","volume":"32","author":"G. Wilson","year":"1981","unstructured":"G. Wilson,Quart. J. Math. Oxford,32, 491\u2013512 (1981).","journal-title":"Quart. J. Math. Oxford"},{"key":"BF02551166_CR19","first-page":"39","volume-title":"Proc. RIMS Symp. Nonlinear Integrable Systems: Classical Theory and Quantum Theory","author":"E. Date","year":"1983","unstructured":"E. Date, M. Jimbo, M. Kashiwara, and T. Miwa, \u201cTransformation groups for soliton equations,\u201d in:Proc. RIMS Symp. Nonlinear Integrable Systems: Classical Theory and Quantum Theory (M. Jimbo and T. Miwa, eds.), World Scientific, Singapore (1983), pp. 39\u2013119."},{"key":"BF02551166_CR20","series-title":"Adv. Series in Math Phys","doi-asserted-by":"crossref","DOI":"10.1142\/1109","volume-title":"Soliton Equations and Hamiltonian Systems","author":"L. A. Dickey","year":"1991","unstructured":"L. A. Dickey,Soliton Equations and Hamiltonian Systems (Adv. Series in Math Phys, Vol. 12), World Scientific, Singapore (1991)."},{"key":"BF02551166_CR21","doi-asserted-by":"crossref","first-page":"4606","DOI":"10.1063\/1.532110","volume":"38","author":"P. Casati","year":"1997","unstructured":"P. Casati, G. Falqui, F. Magri, and M. Pedroni,J. Math. Phys.,38, 4606\u20134628 (1997).","journal-title":"J. Math. Phys."},{"key":"BF02551166_CR22","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF02099281","volume":"145","author":"M. F. Groot de","year":"1992","unstructured":"M. F. de Groot, T. J. Hollowood, and J. L. Miramontes,Commun. Math. Phys.,145, 57\u201384 (1992).","journal-title":"Commun. Math. Phys."},{"key":"BF02551166_CR23","unstructured":"G. Falqui, F. Magri, and G. Tondo,Theor. Math. Phys. (forthcoming)."},{"key":"BF02551166_CR24","series-title":"Proc. Symp. Pure Math.","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1090\/pspum\/049.1\/1013131","volume-title":"Theta Functions\u2014Bowdoin 1987","author":"K. Takasaki","year":"1989","unstructured":"K. Takasaki, \u201cIntegrable systems as deformations ofD-modules\u201d, in:Theta Functions\u2014Bowdoin 1987 (L. Ehrenpreis and R. C. Gunning, eds.) (Proc. Symp. Pure Math., Vol. 49, Part 1), Am. Math. Soc., Providence, RI (1989), pp. 143\u2013168."},{"key":"BF02551166_CR25","first-page":"151","volume-title":"Perspectives in Mathematical Physics","author":"M. Mulase","year":"1994","unstructured":"M. Mulase, \u201cAlgebraic theory of the KP equations,\u201d in:Perspectives in Mathematical Physics (R. Penner and S.-T. Yau, eds.), International Press, Boston (1994), pp. 151\u2013217."},{"key":"BF02551166_CR26","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s002200050166","volume":"188","author":"F. Magri","year":"1997","unstructured":"F. Magri, M. Pedroni, and J. P. Zubelli,Commun. Math. Phys.,188, 305\u2013325 (1997).","journal-title":"Commun. Math. Phys."},{"key":"BF02551166_CR27","volume-title":"Riccati Differential Equations","author":"W. T. Reid","year":"1972","unstructured":"W. T. Reid,Riccati Differential Equations, Acad. Press, New York (1972)."},{"key":"BF02551166_CR28","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511626234","volume-title":"Infinite Dimensional Lie Algebras","author":"V. G. Kac","year":"1990","unstructured":"V. G. Kac,Infinite Dimensional Lie Algebras (3rd ed.), Cambridge Univ. Press, Cambridge (1990).","edition":"3rd ed."}],"container-title":["Theoretical and Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02551166.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02551166\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02551166","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T17:50:01Z","timestamp":1558288201000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02551166"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["BF02551166"],"URL":"https:\/\/doi.org\/10.1007\/bf02551166","relation":{"is-translation-of":[{"id-type":"doi","id":"10.4213\/tmf552","asserted-by":"object"}]},"ISSN":["0040-5779","1573-9333"],"issn-type":[{"value":"0040-5779","type":"print"},{"value":"1573-9333","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,1]]}}}