Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-10-14
Theoretical and Mathematical Physics, 160(1): 888-894 (2009)
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Talk at NLP5 conference, Gallipoli. 8 pages
Scientific paper
A class of multidimensional integrable hierarchies connected with commutation of general (unreduced) (N+1)-dimensional vector fields containing derivative over spectral variable is considered. They are represented in the form of generating equation, as well as in the Lax-Sato form. A dressing scheme based on nonlinear vector Riemann problem is presented for this class. The hierarchies connected with Manakov-Santini equation and Dunajski system are considered as illustrative examples.
No associations
LandOfFree
On a class of multidimensional integrable hierarchies and their reductions 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 On a class of multidimensional integrable hierarchies and their reductions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a class of multidimensional integrable hierarchies and their reductions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-591050