Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy

Details Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy

2002-02-05

arxiv.org/abs/nlin/0202013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex 15 pages

Scientific paper

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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