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

2.5k citations

Showing 2005 · nlin.SIShow all

5 papers · 2 filters

nlin.SI2005

On the models of nonlocal nonlinear optics

Boris G. Konopelchenko, Antonio Moro

We show that under certain assumptions a general model of nonlocal nonlinear response in 1+1-dimension is equivalent to the model considered by Krolikowski and Bang for a Kerr-type…

nlin.SI2005★ 9 cited

On the extended resolvent of the Nonstationary Schrodingher operator for a Darboux transformed potential

M. Boiti, F. Pempinelli, A. K. Pogrebkov

In the framework of the resolvent approach it is introduced a so called twisting operator that is able, at the same time, to superimpose à la Darboux solitons to a generic smoo…

nlin.SI2005★ 4 cited

Paraxial light in a Cole-Cole nonlocal medium: integrable regimes and singularities

Boris Konopelchenko, Antonio Moro

Nonlocal nonlinear Schroedinger-type equation is derived as a model to describe paraxial light propagation in nonlinear media with different `degrees' of nonlocality. High frequenc…

nlin.SI2005★ 38 cited

On the dbar-dressing method applicable to heavenly equation

L. V. Bogdanov, B. G. Konopelchenko

The $\dbar$-dressing scheme based on local nonlinear vector $\dbar$-problem is developed. It is applicable to multidimensional nonlinear equations for vector fields, and, after Ham…

nlin.SI2005★ 6 cited

Integrable Quasiclassical Deformations of Cubic Curves

Y. Kodama, B. Konopelchenko, L. Martinez Alonso +1

A general scheme for determining and studying hydrodynamic type systems describing integrable deformations of algebraic curves is applied to cubic curves. Lagrange resolvents of th…