Quasiconformal mappings and solutions of the dispersionless KP hierarchy

  • Konopelchenko B
  • Martínez Alonso L
  • Medina E
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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.

Author-supplied keywords

  • Dispersionless hierarchies
  • Quasiconformal mappings
  • ∂ Equations

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  • B. Konopelchenko

  • L. Martínez Alonso

  • E. Medina

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