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Quasiconformal mappings and solutions of the dispersionless KP hierarchy

Theoretical and Mathematical Physics (2002) 133(2) 1529-1538
DOI: 10.1023/A:1021198811148
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Abstract

A ∂formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP (dKP) hierarchy. We relate this formalism to the theory of quasiconformal mappings on the plane and present some classes of explicit solutions of the dKP hierarchy.

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Konopelchenko, B., Martínez Alonso, L., & Medina, E. (2002). Quasiconformal mappings and solutions of the dispersionless KP hierarchy. In Theoretical and Mathematical Physics (Vol. 133, pp. 1529–1538). https://doi.org/10.1023/A:1021198811148

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