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An elementary approach to the polynomial $\\\\tau$-functions of the KP Hierarchy

TitleAn elementary approach to the polynomial $\\\\tau$-functions of the KP Hierarchy
Publication TypeJournal Article
Year of Publication2000
AuthorsFalqui, G, Magri, F, Pedroni, M, Zubelli, JP
JournalTheor. Math. Phys. 122 (2000) 17-28
Abstract

We give an elementary construction of the solutions of the KP hierarchy associated with polynomial τ-functions starting with a geometric approach to soliton equations based on the concept of a bi-Hamiltonian system. As a consequence, we establish a Wronskian formula for the polynomial τ-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly.

URLhttp://hdl.handle.net/1963/3223
DOI10.1007/BF02551166

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