2 papers
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…
solv-int1998
Singular sector of the KP hierarchy, -operators of non-zero index and associated integrable systems
Boris G. Konopelchenko, Luis Martinez Alonso, Elena Medina
Integrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with $\dbar$-operators of non-zero index are studied. They arise as the restriction…