%0 Journal Article %J Theor. Math. Phys. 122 (2000) 17-28 %D 2000 %T An elementary approach to the polynomial $\\\\tau$-functions of the KP Hierarchy %A Gregorio Falqui %A Franco Magri %A Marco Pedroni %A Jorge P. Zubelli %X 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. %B Theor. Math. Phys. 122 (2000) 17-28 %I Springer %G en_US %U http://hdl.handle.net/1963/3223 %1 1078 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-31T11:53:05Z\\nNo. of bitstreams: 1\\npolynomial.pdf: 207747 bytes, checksum: 1df27acfb336a4df11658f6c011546da (MD5) %R 10.1007/BF02551166