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VOL. 3 | 2002 $N$-Wave Type Systems and their Gauge Equivalent Related to the Orthogonal Algebras
Vladimir Gerdjikov, Georgi Grahovski, Nikolay Kostov

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber


The reductions of the integrable $N$-wave type equations solvable by the inverse scattering method with the generalized Zakharov–Shabat system $L$ and related to some simple Lie algebra $\mathfrak{g}$ are analyzed. Special attention is paid to the $\mathbb{Z}_2$-reductions including ones that can be embedded also in the Weyl group of $\mathfrak{g}$. The consequences of these restrictions on the structure of the dresing factors are outlined. An example of 4-wave equations (with application to nonlinear optics) and its gauge equivalent are given.


Published: 1 January 2002
First available in Project Euclid: 12 June 2015

zbMATH: 1219.37051
MathSciNet: MR1884850

Digital Object Identifier: 10.7546/giq-3-2002-249-261

Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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