%0 Journal Article
%T Riemann-Hilbert Problems with canonical normalization and families of commuting operators
%A Vladimir S. Gerdjikov
%J Physics
%D 2012
%I arXiv
%X We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a family of ordinary differential operators for which the solution of the RHP is a common fundamental analytic solution. This family of operators obviously commute. Thus we are able to construct new classes of integrable nonlinear evolution equations.
%U http://arxiv.org/abs/1204.2928v1