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On N-wave type systems and their gauge equivalent

Vladimir S. Gerdjikov·Georgi G. Grahovski·Nikolay A. Kostov
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Abstract

The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g nonlinear constraints. The corresponding Lax pairs and the time evolution of the scattering data are found. The Zakharov-Shabat dressing method is appropriately modified to construct their soliton solutions.

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Vladimir S. Gerdjikov, Georgi G. Grahovski, Nikolay A. Kostov. 2002-11-26. On N-wave type systems and their gauge equivalent. https://doi.org/10.1140/epjb%2Fe2002-00294-6

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