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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 122, No. 1, pp. 23–36, January, 1999.
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Falqui, G., Magri, F., Pedroni, M. et al. An elementary approach to the polynomial τ-functions of the KP Hierarchy. Theor Math Phys 122, 17–28 (2000). https://doi.org/10.1007/BF02551166
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DOI: https://doi.org/10.1007/BF02551166