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
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT1.4k papers
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- Centre National de la Recherche ScientifiqueFR1.3k papers
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- Sapienza University of RomeIT1.2k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT1.2k papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR1.2k papers
- University of BolognaIT1.2k papers
- University of GenevaCH1.2k papers
- University of MilanIT1.2k papers
- National Institute for Subatomic PhysicsNL1.2k papers
5 papers · 2 filters
Deformations of plane algebraic curves and integrable systems of hydrodynamic type
Yuji. Kodama, Boris. G. Konopelchenko
We describe our recent work on deformations of hyperelliptic curves by means of integrable hierarchy of hydrodynamic type (nlin.SI/0205012). We also discuss a further extension to…
A discrete Schrodinger spectral problem and associated evolution equations
M. Boiti, M. Bruschi, F. Pempinelli +1
A recently proposed discrete version of the Schrodinger spectral problem is considered. The whole hierarchy of differential-difference nonlinear evolution equations associated to t…
Singular sector of the Burgers-Hopf hierarchy and deformations of hyperelliptic curves
Y. Kodama, B. G. Konopelchenko
We discuss the structure of shock singularities of the Burgers-Hopf hierarchy. It is shown that the set of singular solutions defines a stratification of the affine space of the fl…
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…
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…