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arXiv · nlin/0202013

Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy

B. Konopelchenko·L. Martinez Alonso·E. Medina
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Abstract

A $\bar{\partial}$-formalism for studying dispersionless integrable hierarchies is applied to the dKP hierarchy. Connections with the theory of quasiconformal mappings on the plane are described and some clases of explicit solutions of the dKP hierarchy are presented.

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B. Konopelchenko, L. Martinez Alonso, E. Medina. 2002-02-05. Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy. https://arxiv.org/abs/nlin/0202013

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