Physics – Mathematical Physics
Scientific paper
2005-03-28
Physics
Mathematical Physics
43 pages, revised version with corrected typos
Scientific paper
In this paper we introduce new various generalizations of the classical Kadomtsev-Petviashvili hierarchy in the case of operators in several variables. These generalizations are the candidates for systems that should play the role, analogous to the role of the KP hierarchy in the classical KP theory, in a generalized KP theory. In particular, they should describe flows of some generalized geometric datas, including those described by A.N.Parshin, for certain initial conditions. The unique solvability of the initial value problem for the generalized KP hierarchies is established. The connection of these systems with universal families of isospectral deformations of certain pairs of commuting differential operators is opened. To prove the solvability of the systems we generalize several results from the works of M.Mulase and A.N.Parshin.
No associations
LandOfFree
Two dimensional KP systems and their solvability 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 Two dimensional KP systems and their solvability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two dimensional KP systems and their solvability will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-599264