|
This article is cited in 10 scientific papers (total in 10 papers)
Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy
B. G. Konopelchenkoa, L. Martínez Alonsob, E. Medinac a Lecce University
b Universidad Complutense, Departamento de Fisica Teorica II
c Universidad de Cadiz
Abstract:
A $\bar {\partial }$ 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, $\bar {\partial }$ equations.
Citation:
B. G. Konopelchenko, L. Martínez Alonso, E. Medina, “Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy”, TMF, 133:2 (2002), 247–258; Theoret. and Math. Phys., 133:2 (2002), 1529–1538
Linking options:
https://www.mathnet.ru/eng/tmf394https://doi.org/10.4213/tmf394 https://www.mathnet.ru/eng/tmf/v133/i2/p247
|
Statistics & downloads: |
Abstract page: | 405 | Full-text PDF : | 193 | References: | 54 | First page: | 2 |
|