Riemann-Hilbert Problems, families of commuting operators and soliton equations

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Abstract

We use Riemann-Hilbert Problems with canonical normalization to develop technique for constructing families of commuting operators. As a result we are able to derive new hierarchies of integrable nonlinear evolution equations.

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Gerdjikov, V. S., & Yanovski, A. B. (2014). Riemann-Hilbert Problems, families of commuting operators and soliton equations. In Journal of Physics: Conference Series (Vol. 482). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/482/1/012017

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