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Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy |
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| Authors: | B. Konopelchenko L. Martínez Alonso E. Medina |
| Affiliation: | (1) Dipartimento di Fisica, Universitá degli Studi di Lecce, Lecce, Italy;(2) Sezione di Lecce, Istituto Nazionale di Fisica Nucleare, Lecce, Italy;(3) Departamento de Física Teórica II, Universidad Complutense, Madrid, Spain;(4) Departamento de Matemáticas, Universidad de Cádiz, Cádiz, Spain |
| 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. |
| Keywords: | dispersionless hierarchies quasiconformal mappings IE2" > |
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