Riemann-Hilbert Problems with canonical normalization and families of commuting operators

Details Riemann-Hilbert Problems with canonical normalization and families of commuting operators Riemann-Hilbert Problems with canonical normalization and families of commuting operators

2012-04-13

arxiv.org/abs/1204.2928v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, Submitted to Pliska Stud. Math. Bulgar

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Riemann-Hilbert Problems with canonical normalization and families of commuting operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Riemann-Hilbert Problems with canonical normalization and families of commuting operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riemann-Hilbert Problems with canonical normalization and families of commuting operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143756