Multi-Hamiltonian formulation for a class of degenerate completely integrable systems

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

25 pages, plain TeX, necessary macros included

Scientific paper

Generalizing a construction of P. Vanhaecke, we introduce a large class of degenerate (i.e., associated to a degenerate Poisson bracket) completely integrable systems on (a dense subset of) the space $\R^{2d+n+1}$, called the generalized master systems. It turns out that certain generalized master systems (with different Poisson brackets and different Hamiltonians) determine the same Hamiltonian vector fields (and are therefore different descriptions of the same Hamiltonian system), and that the Poisson brackets of these systems are compatible. Consequently, our class of generalized master systems actually consists of a (smaller) class of completely integrable systems, and our construction yields a multi-Hamiltonian structure for these systems. As an application, we construct a multi-Hamiltonian structure for the so-called master systems introduced by D. Mumford.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Multi-Hamiltonian formulation for a class of degenerate completely integrable systems 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 Multi-Hamiltonian formulation for a class of degenerate completely integrable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multi-Hamiltonian formulation for a class of degenerate completely integrable systems will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-449343

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.