2.5k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of SalentoIT2.1k papers
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- Institut National de Physique Nucléaire et de Physique des ParticulesFR1.2k papers
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4 papers · 2 filters
Conformal geometry of the (discrete) Schwarzian Davey-Stewartson II hierarchy
B. G. Konopelchenko, W. K. Schief
The conformal geometry of the Schwarzian Davey-Stewartson II hierarchy and its discrete analogue is investigated. Connections with discrete and continuous isothermic surfaces and g…
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…
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…
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-…