An elementary approach to the polynomial τ-functions of the KP hierarchy

G. Falqui, F. Magri, M. Pedroni, J. P. Zubelli

Research output: Contribution to journalArticlepeer-review

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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.

Original languageBritish English
Pages (from-to)17-28
Number of pages12
JournalTheoretical and Mathematical Physics(Russian Federation)
Volume122
Issue number1
DOIs
StatePublished - Jan 2000

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