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

2.5k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2001 · nlin.SIShow all

7 papers · 2 filters

nlin.SI2001

Reciprocal figures, graphical statics and inversive geometry of the Schwarzian BKP hierarchy

B. G. Konopelchenko, W. K. Schief

A remarkable connection between soliton theory and an important and beautiful branch of the theory of graphical statics developed by Maxwell and his contemporaries is revealed. Thu…

nlin.SI2001★ 59 cited

Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy

B. G. Konopelchenko, W. K. Schief

It is shown that the integrable discrete Schwarzian KP (dSKP) equation which constitutes an algebraic superposition formula associated with, for instance, the Schwarzian KP hierarc…

nlin.SI2001★ 11 cited

Inverse scattering theory for the perturbed 1-soliton potential of the heat equation

M. Boiti, F. Pempinelli, A. K. Pogrebkov +1

Inverse scattering transform method of the heat equation is developed for a special subclass of potentials nondecaying at space infinity---perturbations of the one-soliton potentia…

nlin.SI2001★ 59 cited

Dispersionless scalar integrable hierarchies, Whitham hierarchy and the quasi-classical dbar-dressing method

B. Konopelchenko, L. Martinez Alonso

The quasi-classical limit of the scalar nonlocal dbar-problem is derived and a quasi-classical version of the dbar-dressing method is presented. Dispersionless KP, mKP and 2DTL hie…

nlin.SI2001★ 6 cited

Integrable discretizations of the sine-Gordon equation

M Boiti, F Pempinelli, B Prinari +1

The inverse scattering theory for the sine-Gordon equation discretized in space and both in space and time is considered.

nlin.SI2001★ 60 cited

Towards an Inverse Scattering theory for non decaying potentials of the heat equation

M Boiti, F Pempinelli, A K Pogrebkov +1

The resolvent approach is applied to the spectral analysis of the heat equation with non decaying potentials. The special case of potentials with spectral data obtained by a ration…

nlin.SI2001★ 26 cited

An integrable discretization of KdV at large times

M Boiti, F Pempinelli, B Prinari +1

An "exact discretization" of the Schroedinger operator is considered and its direct and inverse scattering problems are solved. It is shown that a differential-difference nonlinear…