80 citations · 847 across the 69 of their papers we have counts for
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nlin.SI2003★ 44 cited
Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type
L. V. Bogdanov, B. G. Konopelchenko
Symmetry constraints for (2+1)-dimensional dispersionless integrable equations are considered. It is demonstrated that they naturally lead to systems of hydrodynamic type which ari…
nlin.SI2003★ 8 cited
Nonlinear Beltrami equation and tau-function for dispersionless hierarchies
L. V. Bogdanov, B. G. Konopelchenko
It is proved that the action for nonlinear Beltrami equation (quasiclassical dbar-problem) evaluated on its solution gives a tau-function for dispersionless KP hierarchy. Infinites…
nlin.SI2003★ 2 cited
Quasi-classical DBAR-dressing approach to the weakly dispersive KP hierarchy
Boris Konopelchenko, Antonio Moro
Recently proposed quasi-classical DBAR-dressing method provides a systematic approach to study the weakly dispersive limit of integrable systems. We apply the quasi-classical DBAR-…