output
19922026
most citedNonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities

2.5k citations

Showing 2002 · nlin.SIShow all

5 papers · 2 filters

nlin.SI2002

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…

nlin.SI2002★ 16 cited

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…

nlin.SI2002★ 40 cited

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…

nlin.SI2002★ 1 cited

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…