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nlin.SI2002
Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy
B. Konopelchenko, L. Martinez Alonso, E. Medina
A -formalism for studying dispersionless integrable hierarchies is applied to the dKP hierarchy. Connections with the theory of quasiconformal mappings on the plane…
nlin.SI2002
Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations
B. Konopelchenko, L. Martinez Alonso
A class of nonlinear problems on the plane, described by nonlinear inhomogeneous -equations, is considered. It is shown that the corresponding dynamics, generated b…