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arXiv · 1411.3401

New Construction of Algebro-Geometric Solutions to the Modified Kadomtsev-Petviashvili Hierarchy

Peng Zhao·Engui Fan
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Abstract

We extend Gesztesy-Holden's method to 2+1 dimensional case to obtain a unified construction to the algebro-geometric solutions of the whole modified Kadomtsev-Petviashvili (mKP) hierarchy. Our tools include the relations between solutions of the Gerdjikov-Ivanov (GI) and mKP hierarchy, the Baker-Akhiezer functions in 2+1 dimensions, a special function $\psi_1(P)\psi_2(P^*)$ on $X\times \mathbb{R}^3$ and Dubrovin-type equations for auxiliary divisors.

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Peng Zhao, Engui Fan. 2014-11-13. New Construction of Algebro-Geometric Solutions to the Modified Kadomtsev-Petviashvili Hierarchy. https://arxiv.org/abs/1411.3401

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