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arXiv · 1410.7516

Algebro-Geometric Solutions for the Kadomtsev-Petviashvili Hierarchy

Peng Zhao·Engui Fan
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Abstract

Based on the idea of symmetric constraint, we apply the Gesztesy-Holden's method to derive explicit representations of the Baker-Ahkiezer function $\psi_1$ of the KP hierarchy, from which we provide theta function representations of algebro-geometric solutions for the whole Kadomtsev-Petviashvili (KP) hierarchy. This provides a approach to obtain some special subclasses of algebro-geometric solutions for the KP hierarchy and other high dimensional hierarchy of equations.

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Peng Zhao, Engui Fan. 2014-10-28. Algebro-Geometric Solutions for the Kadomtsev-Petviashvili Hierarchy. https://arxiv.org/abs/1410.7516

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