2012/04/13 by Vladimir S. Gerdjikov, Gerdjikov, Vladimir S.
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
paper · pdf · doi:10.48550/arxiv.1204.2928
14 pages, Submitted to Pliska Stud. Math. Bulgar
arxiv created 2012/04/13 · arxiv updated 2012/04/16
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.