Geodesic
An elementary approach to the polynomial $\tau$-functions of the KP hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 1, pp. 23-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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We give an elementary construction of the solutions of the KP hierarchy associated with polynomial $\tau$-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 $\tau$-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly. 
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G. Falqui; F. Magri; M. Pedroni; J. P. Zubelli. An elementary approach to the polynomial $\tau$-functions of the KP hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 1, pp. 23-36. http://geodesic.mathdoc.fr/item/TMF_2000_122_1_a2/

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