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

2.5k citations

Showing 2000 · nlin.SIShow all

5 papers · 2 filters

nlin.SI2000★ 26 cited

Deformation surfaces, integrable systems and Chern - Simons theory

L. Martina, Kur. Myrzakul, R. Myrzakulov +1

A few years ago, some of us devised a method to obtain integrable systems in (2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via reduction of the gauge con…

nlin.SI2000★ 9 cited

Point Symmetries of Generalized Toda Field Theories II Applications of the Symmetries

L. Martina, S. Lafortune, P. Winternitz

The Lie symmetries of a large class of generalized Toda field theories are studied and used to perform symmetry reduction. Reductions lead to generalized Toda lattices on one hand,…

nlin.SI2000★ 12 cited

Point Symmetries of Generalized Toda Field Theories

S. Lafortune, P. Winternitz, L. Martina

A class of two-dimensional field theories with exponential interactions is introduced. The interaction depends on two ``coupling'' matrices and is sufficiently general to include a…

nlin.SI2000

On some nondecaying potentials and related Jost solutions for the heat conduction equation

B. Prinari

Potentials of the heat conduction operator constructed by means of 2 binary Backlund transformations are studied in detail. Corresponding Darboux transformations of the Jost soluti…

nlin.SI2000

Ellipticity Conditions for the Lax Operator of the KP Equations

Giampiero Esposito, Boris G. Konopelchenko

The Lax pseudo-differential operator plays a key role in studying the general set of KP equations, although it is normally treated in a formal way, without worrying about a complet…