Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-07-05
Nonlinear Sciences
Exactly Solvable and Integrable Systems
revised version (introduction, section 5, and bibliography expanded), 10 pages, LaTeX, no figures
Scientific paper
We present a new approach to construction of recursion operators for multidimensional integrable systems which have a Lax-type representation in terms of a pair of commuting vector fields. It is illustrated by the examples of the Manakov--Santini system which is a hyperbolic system in N dependent and N + 4 independent variables, where N is an arbitrary natural number, the six-dimensional generalization of the first heavenly equation, the modified heavenly equation, and the dispersionless Hirota equation.
Marvan Michal
Sergyeyev Artur
No associations
LandOfFree
Recursion operators for dispersionless integrable systems in any dimension 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 Recursion operators for dispersionless integrable systems in any dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recursion operators for dispersionless integrable systems in any dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-476011